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Finding the Fourth Proportional to 3,812.27, 5,718.42 and 1,347.12

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Solution

The fourth proportional to 3,812.27, 5,718.42 and 1,347.12 is: 2,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.27 : 5,718.42 = 1,347.12 : x
  2. Step 2: Convert to fraction form
    3,812.27/5,718.42 = 1,347.12/x
  3. Step 3: Cross multiply
    3,812.27x = 5,718.42 × 1,347.12
  4. Step 4: Simplify right side
    3,812.27x = 7,703,397.95
  5. Step 5: Solve for x
    x = 7,703,397.95/3,812.27
  6. Step 6: Final answer
    x = 2,020.69

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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.