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Finding the Fourth Proportional to 4,382.64, 6,048.42 and 2,493.82

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Solution

The fourth proportional to 4,382.64, 6,048.42 and 2,493.82 is: 3,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.64 : 6,048.42 = 2,493.82 : x
  2. Step 2: Convert to fraction form
    4,382.64/6,048.42 = 2,493.82/x
  3. Step 3: Cross multiply
    4,382.64x = 6,048.42 × 2,493.82
  4. Step 4: Simplify right side
    4,382.64x = 15,083,651.10
  5. Step 5: Solve for x
    x = 15,083,651.10/4,382.64
  6. Step 6: Final answer
    x = 3,441.68

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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.