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Finding the Fourth Proportional to 3,843.88, 5,766.03 and 1,070.55

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Solution

The fourth proportional to 3,843.88, 5,766.03 and 1,070.55 is: 1,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.88 : 5,766.03 = 1,070.55 : x
  2. Step 2: Convert to fraction form
    3,843.88/5,766.03 = 1,070.55/x
  3. Step 3: Cross multiply
    3,843.88x = 5,766.03 × 1,070.55
  4. Step 4: Simplify right side
    3,843.88x = 6,172,823.42
  5. Step 5: Solve for x
    x = 6,172,823.42/3,843.88
  6. Step 6: Final answer
    x = 1,605.88

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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.