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Finding the Fourth Proportional to 5,239.28, 7,854.50 and 2,275.48

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Solution

The fourth proportional to 5,239.28, 7,854.50 and 2,275.48 is: 3,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.28 : 7,854.50 = 2,275.48 : x
  2. Step 2: Convert to fraction form
    5,239.28/7,854.50 = 2,275.48/x
  3. Step 3: Cross multiply
    5,239.28x = 7,854.50 × 2,275.48
  4. Step 4: Simplify right side
    5,239.28x = 17,872,757.66
  5. Step 5: Solve for x
    x = 17,872,757.66/5,239.28
  6. Step 6: Final answer
    x = 3,411.30

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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.