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Finding the Fourth Proportional to 5,691.60, 8,542.80 and 4,870.80

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Solution

The fourth proportional to 5,691.60, 8,542.80 and 4,870.80 is: 7,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.60 : 8,542.80 = 4,870.80 : x
  2. Step 2: Convert to fraction form
    5,691.60/8,542.80 = 4,870.80/x
  3. Step 3: Cross multiply
    5,691.60x = 8,542.80 × 4,870.80
  4. Step 4: Simplify right side
    5,691.60x = 41,610,270.24
  5. Step 5: Solve for x
    x = 41,610,270.24/5,691.60
  6. Step 6: Final answer
    x = 7,310.82

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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.