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Finding the Fourth Proportional to 5,910.64, 8,863.80 and 2,446

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Solution

The fourth proportional to 5,910.64, 8,863.80 and 2,446 is: 3,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.64 : 8,863.80 = 2,446 : x
  2. Step 2: Convert to fraction form
    5,910.64/8,863.80 = 2,446/x
  3. Step 3: Cross multiply
    5,910.64x = 8,863.80 × 2,446
  4. Step 4: Simplify right side
    5,910.64x = 21,680,854.80
  5. Step 5: Solve for x
    x = 21,680,854.80/5,910.64
  6. Step 6: Final answer
    x = 3,668.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.