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Finding the Fourth Proportional to 3,250.64, 4,874.74 and 2,565.38

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Solution

The fourth proportional to 3,250.64, 4,874.74 and 2,565.38 is: 3,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.64 : 4,874.74 = 2,565.38 : x
  2. Step 2: Convert to fraction form
    3,250.64/4,874.74 = 2,565.38/x
  3. Step 3: Cross multiply
    3,250.64x = 4,874.74 × 2,565.38
  4. Step 4: Simplify right side
    3,250.64x = 12,505,560.50
  5. Step 5: Solve for x
    x = 12,505,560.50/3,250.64
  6. Step 6: Final answer
    x = 3,847.11

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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.