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Finding the Fourth Proportional to 3,688.23, 5,532.24 and 914.88

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Solution

The fourth proportional to 3,688.23, 5,532.24 and 914.88 is: 1,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.23 : 5,532.24 = 914.88 : x
  2. Step 2: Convert to fraction form
    3,688.23/5,532.24 = 914.88/x
  3. Step 3: Cross multiply
    3,688.23x = 5,532.24 × 914.88
  4. Step 4: Simplify right side
    3,688.23x = 5,061,335.73
  5. Step 5: Solve for x
    x = 5,061,335.73/3,688.23
  6. Step 6: Final answer
    x = 1,372.29

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