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Finding the Fourth Proportional to 2,767.68, 3,812.40 and 2,586.24

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Solution

The fourth proportional to 2,767.68, 3,812.40 and 2,586.24 is: 3,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.68 : 3,812.40 = 2,586.24 : x
  2. Step 2: Convert to fraction form
    2,767.68/3,812.40 = 2,586.24/x
  3. Step 3: Cross multiply
    2,767.68x = 3,812.40 × 2,586.24
  4. Step 4: Simplify right side
    2,767.68x = 9,859,781.38
  5. Step 5: Solve for x
    x = 9,859,781.38/2,767.68
  6. Step 6: Final answer
    x = 3,562.47

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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.