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Finding the Fourth Proportional to 3,915.78, 5,401.96 and 3,468.11

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Solution

The fourth proportional to 3,915.78, 5,401.96 and 3,468.11 is: 4,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.78 : 5,401.96 = 3,468.11 : x
  2. Step 2: Convert to fraction form
    3,915.78/5,401.96 = 3,468.11/x
  3. Step 3: Cross multiply
    3,915.78x = 5,401.96 × 3,468.11
  4. Step 4: Simplify right side
    3,915.78x = 18,734,591.50
  5. Step 5: Solve for x
    x = 18,734,591.50/3,915.78
  6. Step 6: Final answer
    x = 4,784.38

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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.