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Finding the Fourth Proportional to 3,792.78, 5,232.06 and 2,532.42

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Solution

The fourth proportional to 3,792.78, 5,232.06 and 2,532.42 is: 3,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.78 : 5,232.06 = 2,532.42 : x
  2. Step 2: Convert to fraction form
    3,792.78/5,232.06 = 2,532.42/x
  3. Step 3: Cross multiply
    3,792.78x = 5,232.06 × 2,532.42
  4. Step 4: Simplify right side
    3,792.78x = 13,249,773.39
  5. Step 5: Solve for x
    x = 13,249,773.39/3,792.78
  6. Step 6: Final answer
    x = 3,493.42

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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.