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Finding the Fourth Proportional to 3,531.97, 5,296.35 and 1,339.14

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Solution

The fourth proportional to 3,531.97, 5,296.35 and 1,339.14 is: 2,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.97 : 5,296.35 = 1,339.14 : x
  2. Step 2: Convert to fraction form
    3,531.97/5,296.35 = 1,339.14/x
  3. Step 3: Cross multiply
    3,531.97x = 5,296.35 × 1,339.14
  4. Step 4: Simplify right side
    3,531.97x = 7,092,579.02
  5. Step 5: Solve for x
    x = 7,092,579.02/3,531.97
  6. Step 6: Final answer
    x = 2,008.11

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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.