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Finding the Fourth Proportional to 4,697.12, 7,049.93 and 3,449.31

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Solution

The fourth proportional to 4,697.12, 7,049.93 and 3,449.31 is: 5,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.12 : 7,049.93 = 3,449.31 : x
  2. Step 2: Convert to fraction form
    4,697.12/7,049.93 = 3,449.31/x
  3. Step 3: Cross multiply
    4,697.12x = 7,049.93 × 3,449.31
  4. Step 4: Simplify right side
    4,697.12x = 24,317,376.80
  5. Step 5: Solve for x
    x = 24,317,376.80/4,697.12
  6. Step 6: Final answer
    x = 5,177.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.