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Finding the Fourth Proportional to 3,172.56, 4,384.98 and 2,385.24

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Solution

The fourth proportional to 3,172.56, 4,384.98 and 2,385.24 is: 3,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.56 : 4,384.98 = 2,385.24 : x
  2. Step 2: Convert to fraction form
    3,172.56/4,384.98 = 2,385.24/x
  3. Step 3: Cross multiply
    3,172.56x = 4,384.98 × 2,385.24
  4. Step 4: Simplify right side
    3,172.56x = 10,459,229.70
  5. Step 5: Solve for x
    x = 10,459,229.70/3,172.56
  6. Step 6: Final answer
    x = 3,296.78

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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.