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Finding the Fourth Proportional to 3,436.92, 5,148 and 2,117.52

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Solution

The fourth proportional to 3,436.92, 5,148 and 2,117.52 is: 3,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.92 : 5,148 = 2,117.52 : x
  2. Step 2: Convert to fraction form
    3,436.92/5,148 = 2,117.52/x
  3. Step 3: Cross multiply
    3,436.92x = 5,148 × 2,117.52
  4. Step 4: Simplify right side
    3,436.92x = 10,900,992.96
  5. Step 5: Solve for x
    x = 10,900,992.96/3,436.92
  6. Step 6: Final answer
    x = 3,171.73

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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.