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Finding the Fourth Proportional to 3,472.15, 5,207.28 and 1,523.89

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Solution

The fourth proportional to 3,472.15, 5,207.28 and 1,523.89 is: 2,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.15 : 5,207.28 = 1,523.89 : x
  2. Step 2: Convert to fraction form
    3,472.15/5,207.28 = 1,523.89/x
  3. Step 3: Cross multiply
    3,472.15x = 5,207.28 × 1,523.89
  4. Step 4: Simplify right side
    3,472.15x = 7,935,321.92
  5. Step 5: Solve for x
    x = 7,935,321.92/3,472.15
  6. Step 6: Final answer
    x = 2,285.42

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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.