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Finding the Fourth Proportional to 4,202.72, 6,301.62 and 1,428.47

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Solution

The fourth proportional to 4,202.72, 6,301.62 and 1,428.47 is: 2,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.72 : 6,301.62 = 1,428.47 : x
  2. Step 2: Convert to fraction form
    4,202.72/6,301.62 = 1,428.47/x
  3. Step 3: Cross multiply
    4,202.72x = 6,301.62 × 1,428.47
  4. Step 4: Simplify right side
    4,202.72x = 9,001,675.12
  5. Step 5: Solve for x
    x = 9,001,675.12/4,202.72
  6. Step 6: Final answer
    x = 2,141.87

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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.