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Finding the Fourth Proportional to 4,454.32, 6,672.78 and 2,398

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Solution

The fourth proportional to 4,454.32, 6,672.78 and 2,398 is: 3,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.32 : 6,672.78 = 2,398 : x
  2. Step 2: Convert to fraction form
    4,454.32/6,672.78 = 2,398/x
  3. Step 3: Cross multiply
    4,454.32x = 6,672.78 × 2,398
  4. Step 4: Simplify right side
    4,454.32x = 16,001,326.44
  5. Step 5: Solve for x
    x = 16,001,326.44/4,454.32
  6. Step 6: Final answer
    x = 3,592.32

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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.