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Finding the Fourth Proportional to 4,378.69, 6,049.18 and 2,869.84

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Solution

The fourth proportional to 4,378.69, 6,049.18 and 2,869.84 is: 3,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.69 : 6,049.18 = 2,869.84 : x
  2. Step 2: Convert to fraction form
    4,378.69/6,049.18 = 2,869.84/x
  3. Step 3: Cross multiply
    4,378.69x = 6,049.18 × 2,869.84
  4. Step 4: Simplify right side
    4,378.69x = 17,360,178.73
  5. Step 5: Solve for x
    x = 17,360,178.73/4,378.69
  6. Step 6: Final answer
    x = 3,964.70

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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.