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Finding the Fourth Proportional to 5,783,898.55, 7,977,125.93 and 5,084,684.34

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Solution

The fourth proportional to 5,783,898.55, 7,977,125.93 and 5,084,684.34 is: 7,012,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783,898.55 : 7,977,125.93 = 5,084,684.34 : x
  2. Step 2: Convert to fraction form
    5,783,898.55/7,977,125.93 = 5,084,684.34/x
  3. Step 3: Cross multiply
    5,783,898.55x = 7,977,125.93 × 5,084,684.34
  4. Step 4: Simplify right side
    5,783,898.55x = 40,561,167,294,478.93
  5. Step 5: Solve for x
    x = 40,561,167,294,478.93/5,783,898.55
  6. Step 6: Final answer
    x = 7,012,772.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.