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Finding the Fourth Proportional to 3,498.14, 5,244.42 and 1,648.28

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Solution

The fourth proportional to 3,498.14, 5,244.42 and 1,648.28 is: 2,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.14 : 5,244.42 = 1,648.28 : x
  2. Step 2: Convert to fraction form
    3,498.14/5,244.42 = 1,648.28/x
  3. Step 3: Cross multiply
    3,498.14x = 5,244.42 × 1,648.28
  4. Step 4: Simplify right side
    3,498.14x = 8,644,272.60
  5. Step 5: Solve for x
    x = 8,644,272.60/3,498.14
  6. Step 6: Final answer
    x = 2,471.11

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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.