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Finding the Fourth Proportional to 3,396.78, 5,107.50 and 3,126.12

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Solution

The fourth proportional to 3,396.78, 5,107.50 and 3,126.12 is: 4,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.78 : 5,107.50 = 3,126.12 : x
  2. Step 2: Convert to fraction form
    3,396.78/5,107.50 = 3,126.12/x
  3. Step 3: Cross multiply
    3,396.78x = 5,107.50 × 3,126.12
  4. Step 4: Simplify right side
    3,396.78x = 15,966,657.90
  5. Step 5: Solve for x
    x = 15,966,657.90/3,396.78
  6. Step 6: Final answer
    x = 4,700.53

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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.