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Finding the Fourth Proportional to 3,397.95, 5,092.47 and 1,838.30

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Solution

The fourth proportional to 3,397.95, 5,092.47 and 1,838.30 is: 2,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.95 : 5,092.47 = 1,838.30 : x
  2. Step 2: Convert to fraction form
    3,397.95/5,092.47 = 1,838.30/x
  3. Step 3: Cross multiply
    3,397.95x = 5,092.47 × 1,838.30
  4. Step 4: Simplify right side
    3,397.95x = 9,361,462.14
  5. Step 5: Solve for x
    x = 9,361,462.14/3,397.95
  6. Step 6: Final answer
    x = 2,755.03

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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.