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Finding the Fourth Proportional to 3,960.52, 5,940.78 and 2,575

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Solution

The fourth proportional to 3,960.52, 5,940.78 and 2,575 is: 3,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.52 : 5,940.78 = 2,575 : x
  2. Step 2: Convert to fraction form
    3,960.52/5,940.78 = 2,575/x
  3. Step 3: Cross multiply
    3,960.52x = 5,940.78 × 2,575
  4. Step 4: Simplify right side
    3,960.52x = 15,297,508.50
  5. Step 5: Solve for x
    x = 15,297,508.50/3,960.52
  6. Step 6: Final answer
    x = 3,862.50

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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.