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Finding the Fourth Proportional to 3,538.98, 5,308.43 and 2,152.70

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Solution

The fourth proportional to 3,538.98, 5,308.43 and 2,152.70 is: 3,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.98 : 5,308.43 = 2,152.70 : x
  2. Step 2: Convert to fraction form
    3,538.98/5,308.43 = 2,152.70/x
  3. Step 3: Cross multiply
    3,538.98x = 5,308.43 × 2,152.70
  4. Step 4: Simplify right side
    3,538.98x = 11,427,419.96
  5. Step 5: Solve for x
    x = 11,427,419.96/3,538.98
  6. Step 6: Final answer
    x = 3,229.02

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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.