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Finding the Fourth Proportional to 3,472.42, 5,209.38 and 1,007.35

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Solution

The fourth proportional to 3,472.42, 5,209.38 and 1,007.35 is: 1,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.42 : 5,209.38 = 1,007.35 : x
  2. Step 2: Convert to fraction form
    3,472.42/5,209.38 = 1,007.35/x
  3. Step 3: Cross multiply
    3,472.42x = 5,209.38 × 1,007.35
  4. Step 4: Simplify right side
    3,472.42x = 5,247,668.94
  5. Step 5: Solve for x
    x = 5,247,668.94/3,472.42
  6. Step 6: Final answer
    x = 1,511.24

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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.