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Finding the Fourth Proportional to 4,524.42, 6,209.53 and 4,149.12

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Solution

The fourth proportional to 4,524.42, 6,209.53 and 4,149.12 is: 5,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.42 : 6,209.53 = 4,149.12 : x
  2. Step 2: Convert to fraction form
    4,524.42/6,209.53 = 4,149.12/x
  3. Step 3: Cross multiply
    4,524.42x = 6,209.53 × 4,149.12
  4. Step 4: Simplify right side
    4,524.42x = 25,764,085.11
  5. Step 5: Solve for x
    x = 25,764,085.11/4,524.42
  6. Step 6: Final answer
    x = 5,694.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.