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Finding the Fourth Proportional to 5,228.64, 7,832.61 and 3,149.19

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Solution

The fourth proportional to 5,228.64, 7,832.61 and 3,149.19 is: 4,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.64 : 7,832.61 = 3,149.19 : x
  2. Step 2: Convert to fraction form
    5,228.64/7,832.61 = 3,149.19/x
  3. Step 3: Cross multiply
    5,228.64x = 7,832.61 × 3,149.19
  4. Step 4: Simplify right side
    5,228.64x = 24,666,377.09
  5. Step 5: Solve for x
    x = 24,666,377.09/5,228.64
  6. Step 6: Final answer
    x = 4,717.55

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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.