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Finding the Fourth Proportional to 4,789.80, 7,142.40 and 4,207.19

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Solution

The fourth proportional to 4,789.80, 7,142.40 and 4,207.19 is: 6,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.80 : 7,142.40 = 4,207.19 : x
  2. Step 2: Convert to fraction form
    4,789.80/7,142.40 = 4,207.19/x
  3. Step 3: Cross multiply
    4,789.80x = 7,142.40 × 4,207.19
  4. Step 4: Simplify right side
    4,789.80x = 30,049,398.14
  5. Step 5: Solve for x
    x = 30,049,398.14/4,789.80
  6. Step 6: Final answer
    x = 6,273.62

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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.