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Finding the Fourth Proportional to 4,673.71, 6,449.63 and 2,549.24

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Solution

The fourth proportional to 4,673.71, 6,449.63 and 2,549.24 is: 3,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.71 : 6,449.63 = 2,549.24 : x
  2. Step 2: Convert to fraction form
    4,673.71/6,449.63 = 2,549.24/x
  3. Step 3: Cross multiply
    4,673.71x = 6,449.63 × 2,549.24
  4. Step 4: Simplify right side
    4,673.71x = 16,441,642.04
  5. Step 5: Solve for x
    x = 16,441,642.04/4,673.71
  6. Step 6: Final answer
    x = 3,517.90

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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.