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Finding the Fourth Proportional to 5,049.47, 6,967.80 and 3,723.90

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Solution

The fourth proportional to 5,049.47, 6,967.80 and 3,723.90 is: 5,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.47 : 6,967.80 = 3,723.90 : x
  2. Step 2: Convert to fraction form
    5,049.47/6,967.80 = 3,723.90/x
  3. Step 3: Cross multiply
    5,049.47x = 6,967.80 × 3,723.90
  4. Step 4: Simplify right side
    5,049.47x = 25,947,390.42
  5. Step 5: Solve for x
    x = 25,947,390.42/5,049.47
  6. Step 6: Final answer
    x = 5,138.64

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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.