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Finding the Fourth Proportional to 4,449.28, 6,139.84 and 2,459.84

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Solution

The fourth proportional to 4,449.28, 6,139.84 and 2,459.84 is: 3,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.28 : 6,139.84 = 2,459.84 : x
  2. Step 2: Convert to fraction form
    4,449.28/6,139.84 = 2,459.84/x
  3. Step 3: Cross multiply
    4,449.28x = 6,139.84 × 2,459.84
  4. Step 4: Simplify right side
    4,449.28x = 15,103,024.03
  5. Step 5: Solve for x
    x = 15,103,024.03/4,449.28
  6. Step 6: Final answer
    x = 3,394.49

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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.