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Finding the Fourth Proportional to 3,812.84, 5,718.78 and 1,215.56

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Solution

The fourth proportional to 3,812.84, 5,718.78 and 1,215.56 is: 1,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.84 : 5,718.78 = 1,215.56 : x
  2. Step 2: Convert to fraction form
    3,812.84/5,718.78 = 1,215.56/x
  3. Step 3: Cross multiply
    3,812.84x = 5,718.78 × 1,215.56
  4. Step 4: Simplify right side
    3,812.84x = 6,951,520.22
  5. Step 5: Solve for x
    x = 6,951,520.22/3,812.84
  6. Step 6: Final answer
    x = 1,823.19

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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.