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Finding the Fourth Proportional to 3,812.48, 5,717.54 and 1,472.30

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Solution

The fourth proportional to 3,812.48, 5,717.54 and 1,472.30 is: 2,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.48 : 5,717.54 = 1,472.30 : x
  2. Step 2: Convert to fraction form
    3,812.48/5,717.54 = 1,472.30/x
  3. Step 3: Cross multiply
    3,812.48x = 5,717.54 × 1,472.30
  4. Step 4: Simplify right side
    3,812.48x = 8,417,934.14
  5. Step 5: Solve for x
    x = 8,417,934.14/3,812.48
  6. Step 6: Final answer
    x = 2,207.99

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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.