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Finding the Fourth Proportional to 3,472.48, 5,207.91 and 1,006.75

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Solution

The fourth proportional to 3,472.48, 5,207.91 and 1,006.75 is: 1,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.48 : 5,207.91 = 1,006.75 : x
  2. Step 2: Convert to fraction form
    3,472.48/5,207.91 = 1,006.75/x
  3. Step 3: Cross multiply
    3,472.48x = 5,207.91 × 1,006.75
  4. Step 4: Simplify right side
    3,472.48x = 5,243,063.39
  5. Step 5: Solve for x
    x = 5,243,063.39/3,472.48
  6. Step 6: Final answer
    x = 1,509.89

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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.