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Finding the Fourth Proportional to 5,234.89, 7,224.12 and 2,877.16

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Solution

The fourth proportional to 5,234.89, 7,224.12 and 2,877.16 is: 3,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.89 : 7,224.12 = 2,877.16 : x
  2. Step 2: Convert to fraction form
    5,234.89/7,224.12 = 2,877.16/x
  3. Step 3: Cross multiply
    5,234.89x = 7,224.12 × 2,877.16
  4. Step 4: Simplify right side
    5,234.89x = 20,784,949.10
  5. Step 5: Solve for x
    x = 20,784,949.10/5,234.89
  6. Step 6: Final answer
    x = 3,970.47

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