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Finding the Fourth Proportional to 4,371.87, 6,033 and 2,382.42

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Solution

The fourth proportional to 4,371.87, 6,033 and 2,382.42 is: 3,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371.87 : 6,033 = 2,382.42 : x
  2. Step 2: Convert to fraction form
    4,371.87/6,033 = 2,382.42/x
  3. Step 3: Cross multiply
    4,371.87x = 6,033 × 2,382.42
  4. Step 4: Simplify right side
    4,371.87x = 14,373,139.86
  5. Step 5: Solve for x
    x = 14,373,139.86/4,371.87
  6. Step 6: Final answer
    x = 3,287.64

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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.