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Finding the Fourth Proportional to 3,962.75, 5,468.60 and 2,565.50

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Solution

The fourth proportional to 3,962.75, 5,468.60 and 2,565.50 is: 3,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.75 : 5,468.60 = 2,565.50 : x
  2. Step 2: Convert to fraction form
    3,962.75/5,468.60 = 2,565.50/x
  3. Step 3: Cross multiply
    3,962.75x = 5,468.60 × 2,565.50
  4. Step 4: Simplify right side
    3,962.75x = 14,029,680.47
  5. Step 5: Solve for x
    x = 14,029,680.47/3,962.75
  6. Step 6: Final answer
    x = 3,540.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.