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Finding the Fourth Proportional to 3,812.40, 5,718.78 and 1,347.24

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Solution

The fourth proportional to 3,812.40, 5,718.78 and 1,347.24 is: 2,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.40 : 5,718.78 = 1,347.24 : x
  2. Step 2: Convert to fraction form
    3,812.40/5,718.78 = 1,347.24/x
  3. Step 3: Cross multiply
    3,812.40x = 5,718.78 × 1,347.24
  4. Step 4: Simplify right side
    3,812.40x = 7,704,569.17
  5. Step 5: Solve for x
    x = 7,704,569.17/3,812.40
  6. Step 6: Final answer
    x = 2,020.92

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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.