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Finding the Fourth Proportional to 5,766.66, 8,648.10 and 2,476.44

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Solution

The fourth proportional to 5,766.66, 8,648.10 and 2,476.44 is: 3,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.66 : 8,648.10 = 2,476.44 : x
  2. Step 2: Convert to fraction form
    5,766.66/8,648.10 = 2,476.44/x
  3. Step 3: Cross multiply
    5,766.66x = 8,648.10 × 2,476.44
  4. Step 4: Simplify right side
    5,766.66x = 21,416,500.76
  5. Step 5: Solve for x
    x = 21,416,500.76/5,766.66
  6. Step 6: Final answer
    x = 3,713.85

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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.