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Finding the Fourth Proportional to 4,321.48, 5,974.28 and 4,282.02

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Solution

The fourth proportional to 4,321.48, 5,974.28 and 4,282.02 is: 5,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.48 : 5,974.28 = 4,282.02 : x
  2. Step 2: Convert to fraction form
    4,321.48/5,974.28 = 4,282.02/x
  3. Step 3: Cross multiply
    4,321.48x = 5,974.28 × 4,282.02
  4. Step 4: Simplify right side
    4,321.48x = 25,581,986.45
  5. Step 5: Solve for x
    x = 25,581,986.45/4,321.48
  6. Step 6: Final answer
    x = 5,919.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.