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Finding the Fourth Proportional to 4,078.92, 6,117.96 and 1,446

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Solution

The fourth proportional to 4,078.92, 6,117.96 and 1,446 is: 2,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.92 : 6,117.96 = 1,446 : x
  2. Step 2: Convert to fraction form
    4,078.92/6,117.96 = 1,446/x
  3. Step 3: Cross multiply
    4,078.92x = 6,117.96 × 1,446
  4. Step 4: Simplify right side
    4,078.92x = 8,846,570.16
  5. Step 5: Solve for x
    x = 8,846,570.16/4,078.92
  6. Step 6: Final answer
    x = 2,168.85

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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.