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Finding the Fourth Proportional to 5,167.64, 7,748.62 and 2,392.78

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Solution

The fourth proportional to 5,167.64, 7,748.62 and 2,392.78 is: 3,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.64 : 7,748.62 = 2,392.78 : x
  2. Step 2: Convert to fraction form
    5,167.64/7,748.62 = 2,392.78/x
  3. Step 3: Cross multiply
    5,167.64x = 7,748.62 × 2,392.78
  4. Step 4: Simplify right side
    5,167.64x = 18,540,742.96
  5. Step 5: Solve for x
    x = 18,540,742.96/5,167.64
  6. Step 6: Final answer
    x = 3,587.85

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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.