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Finding the Fourth Proportional to 5,868.64, 8,793.64 and 4,767.64

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Solution

The fourth proportional to 5,868.64, 8,793.64 and 4,767.64 is: 7,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.64 : 8,793.64 = 4,767.64 : x
  2. Step 2: Convert to fraction form
    5,868.64/8,793.64 = 4,767.64/x
  3. Step 3: Cross multiply
    5,868.64x = 8,793.64 × 4,767.64
  4. Step 4: Simplify right side
    5,868.64x = 41,924,909.81
  5. Step 5: Solve for x
    x = 41,924,909.81/5,868.64
  6. Step 6: Final answer
    x = 7,143.89

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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.