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Finding the Fourth Proportional to 3,429.26, 5,140.88 and 1,649.42

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Solution

The fourth proportional to 3,429.26, 5,140.88 and 1,649.42 is: 2,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.26 : 5,140.88 = 1,649.42 : x
  2. Step 2: Convert to fraction form
    3,429.26/5,140.88 = 1,649.42/x
  3. Step 3: Cross multiply
    3,429.26x = 5,140.88 × 1,649.42
  4. Step 4: Simplify right side
    3,429.26x = 8,479,470.29
  5. Step 5: Solve for x
    x = 8,479,470.29/3,429.26
  6. Step 6: Final answer
    x = 2,472.68

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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.