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Finding the Fourth Proportional to 3,354.19, 5,039.19 and 3,167.70

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Solution

The fourth proportional to 3,354.19, 5,039.19 and 3,167.70 is: 4,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.19 : 5,039.19 = 3,167.70 : x
  2. Step 2: Convert to fraction form
    3,354.19/5,039.19 = 3,167.70/x
  3. Step 3: Cross multiply
    3,354.19x = 5,039.19 × 3,167.70
  4. Step 4: Simplify right side
    3,354.19x = 15,962,642.16
  5. Step 5: Solve for x
    x = 15,962,642.16/3,354.19
  6. Step 6: Final answer
    x = 4,759.02

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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.