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Finding the Fourth Proportional to 3,712.65, 5,122.53 and 2,277.78

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Solution

The fourth proportional to 3,712.65, 5,122.53 and 2,277.78 is: 3,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.65 : 5,122.53 = 2,277.78 : x
  2. Step 2: Convert to fraction form
    3,712.65/5,122.53 = 2,277.78/x
  3. Step 3: Cross multiply
    3,712.65x = 5,122.53 × 2,277.78
  4. Step 4: Simplify right side
    3,712.65x = 11,667,996.38
  5. Step 5: Solve for x
    x = 11,667,996.38/3,712.65
  6. Step 6: Final answer
    x = 3,142.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.