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Finding the Fourth Proportional to 4,608.16, 6,909.58 and 3,149.08

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Solution

The fourth proportional to 4,608.16, 6,909.58 and 3,149.08 is: 4,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.16 : 6,909.58 = 3,149.08 : x
  2. Step 2: Convert to fraction form
    4,608.16/6,909.58 = 3,149.08/x
  3. Step 3: Cross multiply
    4,608.16x = 6,909.58 × 3,149.08
  4. Step 4: Simplify right side
    4,608.16x = 21,758,820.19
  5. Step 5: Solve for x
    x = 21,758,820.19/4,608.16
  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.