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Finding the Fourth Proportional to 4,499.28, 6,737.76 and 3,114

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Solution

The fourth proportional to 4,499.28, 6,737.76 and 3,114 is: 4,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.28 : 6,737.76 = 3,114 : x
  2. Step 2: Convert to fraction form
    4,499.28/6,737.76 = 3,114/x
  3. Step 3: Cross multiply
    4,499.28x = 6,737.76 × 3,114
  4. Step 4: Simplify right side
    4,499.28x = 20,981,384.64
  5. Step 5: Solve for x
    x = 20,981,384.64/4,499.28
  6. Step 6: Final answer
    x = 4,663.28

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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.