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Finding the Fourth Proportional to 3,966.59, 5,959 and 2,799.28

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Solution

The fourth proportional to 3,966.59, 5,959 and 2,799.28 is: 4,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.59 : 5,959 = 2,799.28 : x
  2. Step 2: Convert to fraction form
    3,966.59/5,959 = 2,799.28/x
  3. Step 3: Cross multiply
    3,966.59x = 5,959 × 2,799.28
  4. Step 4: Simplify right side
    3,966.59x = 16,680,909.52
  5. Step 5: Solve for x
    x = 16,680,909.52/3,966.59
  6. Step 6: Final answer
    x = 4,205.35

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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.