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Finding the Fourth Proportional to 5,626.38, 7,761.36 and 3,386.92

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Solution

The fourth proportional to 5,626.38, 7,761.36 and 3,386.92 is: 4,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.38 : 7,761.36 = 3,386.92 : x
  2. Step 2: Convert to fraction form
    5,626.38/7,761.36 = 3,386.92/x
  3. Step 3: Cross multiply
    5,626.38x = 7,761.36 × 3,386.92
  4. Step 4: Simplify right side
    5,626.38x = 26,287,105.41
  5. Step 5: Solve for x
    x = 26,287,105.41/5,626.38
  6. Step 6: Final answer
    x = 4,672.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.