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Finding the Fourth Proportional to 5,763.67, 8,642.77 and 2,642.74

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Solution

The fourth proportional to 5,763.67, 8,642.77 and 2,642.74 is: 3,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.67 : 8,642.77 = 2,642.74 : x
  2. Step 2: Convert to fraction form
    5,763.67/8,642.77 = 2,642.74/x
  3. Step 3: Cross multiply
    5,763.67x = 8,642.77 × 2,642.74
  4. Step 4: Simplify right side
    5,763.67x = 22,840,565.78
  5. Step 5: Solve for x
    x = 22,840,565.78/5,763.67
  6. Step 6: Final answer
    x = 3,962.85

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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.