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Finding the Fourth Proportional to 5,068, 6,993.84 and 3,207.52

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Solution

The fourth proportional to 5,068, 6,993.84 and 3,207.52 is: 4,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068 : 6,993.84 = 3,207.52 : x
  2. Step 2: Convert to fraction form
    5,068/6,993.84 = 3,207.52/x
  3. Step 3: Cross multiply
    5,068x = 6,993.84 × 3,207.52
  4. Step 4: Simplify right side
    5,068x = 22,432,881.68
  5. Step 5: Solve for x
    x = 22,432,881.68/5,068
  6. Step 6: Final answer
    x = 4,426.38

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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.