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Finding the Fourth Proportional to 3,498.38, 5,242.10 and 1,854.48

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Solution

The fourth proportional to 3,498.38, 5,242.10 and 1,854.48 is: 2,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.38 : 5,242.10 = 1,854.48 : x
  2. Step 2: Convert to fraction form
    3,498.38/5,242.10 = 1,854.48/x
  3. Step 3: Cross multiply
    3,498.38x = 5,242.10 × 1,854.48
  4. Step 4: Simplify right side
    3,498.38x = 9,721,369.61
  5. Step 5: Solve for x
    x = 9,721,369.61/3,498.38
  6. Step 6: Final answer
    x = 2,778.82

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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.