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Finding the Fourth Proportional to 4,862.62, 7,294.47 and 4,197.88

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Solution

The fourth proportional to 4,862.62, 7,294.47 and 4,197.88 is: 6,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.62 : 7,294.47 = 4,197.88 : x
  2. Step 2: Convert to fraction form
    4,862.62/7,294.47 = 4,197.88/x
  3. Step 3: Cross multiply
    4,862.62x = 7,294.47 × 4,197.88
  4. Step 4: Simplify right side
    4,862.62x = 30,621,309.72
  5. Step 5: Solve for x
    x = 30,621,309.72/4,862.62
  6. Step 6: Final answer
    x = 6,297.29

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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.