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Finding the Fourth Proportional to 4,382.32, 6,049.28 and 2,704

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Solution

The fourth proportional to 4,382.32, 6,049.28 and 2,704 is: 3,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.32 : 6,049.28 = 2,704 : x
  2. Step 2: Convert to fraction form
    4,382.32/6,049.28 = 2,704/x
  3. Step 3: Cross multiply
    4,382.32x = 6,049.28 × 2,704
  4. Step 4: Simplify right side
    4,382.32x = 16,357,253.12
  5. Step 5: Solve for x
    x = 16,357,253.12/4,382.32
  6. Step 6: Final answer
    x = 3,732.56

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Why These Related Problems?

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