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Finding the Fourth Proportional to 3,543.44, 5,306.92 and 3,420.40

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Solution

The fourth proportional to 3,543.44, 5,306.92 and 3,420.40 is: 5,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.44 : 5,306.92 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    3,543.44/5,306.92 = 3,420.40/x
  3. Step 3: Cross multiply
    3,543.44x = 5,306.92 × 3,420.40
  4. Step 4: Simplify right side
    3,543.44x = 18,151,789.17
  5. Step 5: Solve for x
    x = 18,151,789.17/3,543.44
  6. Step 6: Final answer
    x = 5,122.65

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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.