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Finding the Fourth Proportional to 4,891.20, 7,301.01 and 4,202.30

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Solution

The fourth proportional to 4,891.20, 7,301.01 and 4,202.30 is: 6,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.20 : 7,301.01 = 4,202.30 : x
  2. Step 2: Convert to fraction form
    4,891.20/7,301.01 = 4,202.30/x
  3. Step 3: Cross multiply
    4,891.20x = 7,301.01 × 4,202.30
  4. Step 4: Simplify right side
    4,891.20x = 30,680,997.82
  5. Step 5: Solve for x
    x = 30,680,997.82/4,891.20
  6. Step 6: Final answer
    x = 6,272.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.