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Finding the Fourth Proportional to 4,384, 6,049.96 and 2,986.72

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Solution

The fourth proportional to 4,384, 6,049.96 and 2,986.72 is: 4,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384 : 6,049.96 = 2,986.72 : x
  2. Step 2: Convert to fraction form
    4,384/6,049.96 = 2,986.72/x
  3. Step 3: Cross multiply
    4,384x = 6,049.96 × 2,986.72
  4. Step 4: Simplify right side
    4,384x = 18,069,536.53
  5. Step 5: Solve for x
    x = 18,069,536.53/4,384
  6. Step 6: Final answer
    x = 4,121.70

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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.