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Finding the Fourth Proportional to 3,452.68, 4,767.51 and 2,814.72

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Solution

The fourth proportional to 3,452.68, 4,767.51 and 2,814.72 is: 3,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.68 : 4,767.51 = 2,814.72 : x
  2. Step 2: Convert to fraction form
    3,452.68/4,767.51 = 2,814.72/x
  3. Step 3: Cross multiply
    3,452.68x = 4,767.51 × 2,814.72
  4. Step 4: Simplify right side
    3,452.68x = 13,419,234.18
  5. Step 5: Solve for x
    x = 13,419,234.18/3,452.68
  6. Step 6: Final answer
    x = 3,886.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.