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Finding the Fourth Proportional to 4,197.48, 6,291.33 and 3,711.48

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Solution

The fourth proportional to 4,197.48, 6,291.33 and 3,711.48 is: 5,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.48 : 6,291.33 = 3,711.48 : x
  2. Step 2: Convert to fraction form
    4,197.48/6,291.33 = 3,711.48/x
  3. Step 3: Cross multiply
    4,197.48x = 6,291.33 × 3,711.48
  4. Step 4: Simplify right side
    4,197.48x = 23,350,145.47
  5. Step 5: Solve for x
    x = 23,350,145.47/4,197.48
  6. Step 6: Final answer
    x = 5,562.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.