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Finding the Fourth Proportional to 3,812.72, 5,718.84 and 1,215.92

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Solution

The fourth proportional to 3,812.72, 5,718.84 and 1,215.92 is: 1,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.72 : 5,718.84 = 1,215.92 : x
  2. Step 2: Convert to fraction form
    3,812.72/5,718.84 = 1,215.92/x
  3. Step 3: Cross multiply
    3,812.72x = 5,718.84 × 1,215.92
  4. Step 4: Simplify right side
    3,812.72x = 6,953,651.93
  5. Step 5: Solve for x
    x = 6,953,651.93/3,812.72
  6. Step 6: Final answer
    x = 1,823.80

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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.