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Finding the Fourth Proportional to 3,441.54, 5,160.15 and 2,342.55

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Solution

The fourth proportional to 3,441.54, 5,160.15 and 2,342.55 is: 3,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.54 : 5,160.15 = 2,342.55 : x
  2. Step 2: Convert to fraction form
    3,441.54/5,160.15 = 2,342.55/x
  3. Step 3: Cross multiply
    3,441.54x = 5,160.15 × 2,342.55
  4. Step 4: Simplify right side
    3,441.54x = 12,087,909.38
  5. Step 5: Solve for x
    x = 12,087,909.38/3,441.54
  6. Step 6: Final answer
    x = 3,512.35

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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.