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Finding the Fourth Proportional to 3,908.43, 5,862.60 and 1,567.80

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Solution

The fourth proportional to 3,908.43, 5,862.60 and 1,567.80 is: 2,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.43 : 5,862.60 = 1,567.80 : x
  2. Step 2: Convert to fraction form
    3,908.43/5,862.60 = 1,567.80/x
  3. Step 3: Cross multiply
    3,908.43x = 5,862.60 × 1,567.80
  4. Step 4: Simplify right side
    3,908.43x = 9,191,384.28
  5. Step 5: Solve for x
    x = 9,191,384.28/3,908.43
  6. Step 6: Final answer
    x = 2,351.68

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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.