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Finding the Fourth Proportional to 5,151.43, 7,727.07 and 3,568.69

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Solution

The fourth proportional to 5,151.43, 7,727.07 and 3,568.69 is: 5,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.43 : 7,727.07 = 3,568.69 : x
  2. Step 2: Convert to fraction form
    5,151.43/7,727.07 = 3,568.69/x
  3. Step 3: Cross multiply
    5,151.43x = 7,727.07 × 3,568.69
  4. Step 4: Simplify right side
    5,151.43x = 27,575,478.80
  5. Step 5: Solve for x
    x = 27,575,478.80/5,151.43
  6. Step 6: Final answer
    x = 5,352.98

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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.