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Finding the Fourth Proportional to 5,806.53, 8,701.97 and 3,167.55

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Solution

The fourth proportional to 5,806.53, 8,701.97 and 3,167.55 is: 4,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.53 : 8,701.97 = 3,167.55 : x
  2. Step 2: Convert to fraction form
    5,806.53/8,701.97 = 3,167.55/x
  3. Step 3: Cross multiply
    5,806.53x = 8,701.97 × 3,167.55
  4. Step 4: Simplify right side
    5,806.53x = 27,563,909.24
  5. Step 5: Solve for x
    x = 27,563,909.24/5,806.53
  6. Step 6: Final answer
    x = 4,747.05

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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.