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Finding the Fourth Proportional to 3,851.71, 5,778.29 and 1,543.39

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Solution

The fourth proportional to 3,851.71, 5,778.29 and 1,543.39 is: 2,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.71 : 5,778.29 = 1,543.39 : x
  2. Step 2: Convert to fraction form
    3,851.71/5,778.29 = 1,543.39/x
  3. Step 3: Cross multiply
    3,851.71x = 5,778.29 × 1,543.39
  4. Step 4: Simplify right side
    3,851.71x = 8,918,147.29
  5. Step 5: Solve for x
    x = 8,918,147.29/3,851.71
  6. Step 6: Final answer
    x = 2,315.37

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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.