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Finding the Fourth Proportional to 4,608.12, 6,909.60 and 3,149.04

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Solution

The fourth proportional to 4,608.12, 6,909.60 and 3,149.04 is: 4,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.12 : 6,909.60 = 3,149.04 : x
  2. Step 2: Convert to fraction form
    4,608.12/6,909.60 = 3,149.04/x
  3. Step 3: Cross multiply
    4,608.12x = 6,909.60 × 3,149.04
  4. Step 4: Simplify right side
    4,608.12x = 21,758,606.78
  5. Step 5: Solve for x
    x = 21,758,606.78/4,608.12
  6. Step 6: Final answer
    x = 4,721.80

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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.