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Finding the Fourth Proportional to 4,202.12, 6,308.76 and 3,589.76

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Solution

The fourth proportional to 4,202.12, 6,308.76 and 3,589.76 is: 5,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.12 : 6,308.76 = 3,589.76 : x
  2. Step 2: Convert to fraction form
    4,202.12/6,308.76 = 3,589.76/x
  3. Step 3: Cross multiply
    4,202.12x = 6,308.76 × 3,589.76
  4. Step 4: Simplify right side
    4,202.12x = 22,646,934.30
  5. Step 5: Solve for x
    x = 22,646,934.30/4,202.12
  6. Step 6: Final answer
    x = 5,389.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.