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Finding the Fourth Proportional to 5,971.55, 8,940.42 and 4,564.35

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Solution

The fourth proportional to 5,971.55, 8,940.42 and 4,564.35 is: 6,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.55 : 8,940.42 = 4,564.35 : x
  2. Step 2: Convert to fraction form
    5,971.55/8,940.42 = 4,564.35/x
  3. Step 3: Cross multiply
    5,971.55x = 8,940.42 × 4,564.35
  4. Step 4: Simplify right side
    5,971.55x = 40,807,206.03
  5. Step 5: Solve for x
    x = 40,807,206.03/5,971.55
  6. Step 6: Final answer
    x = 6,833.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.