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Finding the Fourth Proportional to 3,812.82, 5,719.77 and 1,215.78

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Solution

The fourth proportional to 3,812.82, 5,719.77 and 1,215.78 is: 1,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.82 : 5,719.77 = 1,215.78 : x
  2. Step 2: Convert to fraction form
    3,812.82/5,719.77 = 1,215.78/x
  3. Step 3: Cross multiply
    3,812.82x = 5,719.77 × 1,215.78
  4. Step 4: Simplify right side
    3,812.82x = 6,953,981.97
  5. Step 5: Solve for x
    x = 6,953,981.97/3,812.82
  6. Step 6: Final answer
    x = 1,823.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.