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Finding the Fourth Proportional to 4,197.48, 6,288.02 and 3,218.80

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Solution

The fourth proportional to 4,197.48, 6,288.02 and 3,218.80 is: 4,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.48 : 6,288.02 = 3,218.80 : x
  2. Step 2: Convert to fraction form
    4,197.48/6,288.02 = 3,218.80/x
  3. Step 3: Cross multiply
    4,197.48x = 6,288.02 × 3,218.80
  4. Step 4: Simplify right side
    4,197.48x = 20,239,862.68
  5. Step 5: Solve for x
    x = 20,239,862.68/4,197.48
  6. Step 6: Final answer
    x = 4,821.91

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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.