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Finding the Fourth Proportional to 5,892.74, 8,823.31 and 3,113.64

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Solution

The fourth proportional to 5,892.74, 8,823.31 and 3,113.64 is: 4,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.74 : 8,823.31 = 3,113.64 : x
  2. Step 2: Convert to fraction form
    5,892.74/8,823.31 = 3,113.64/x
  3. Step 3: Cross multiply
    5,892.74x = 8,823.31 × 3,113.64
  4. Step 4: Simplify right side
    5,892.74x = 27,472,610.95
  5. Step 5: Solve for x
    x = 27,472,610.95/5,892.74
  6. Step 6: Final answer
    x = 4,662.11

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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.