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Finding the Fourth Proportional to 4,775.97, 7,164.15 and 1,489.08

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Solution

The fourth proportional to 4,775.97, 7,164.15 and 1,489.08 is: 2,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.97 : 7,164.15 = 1,489.08 : x
  2. Step 2: Convert to fraction form
    4,775.97/7,164.15 = 1,489.08/x
  3. Step 3: Cross multiply
    4,775.97x = 7,164.15 × 1,489.08
  4. Step 4: Simplify right side
    4,775.97x = 10,667,992.48
  5. Step 5: Solve for x
    x = 10,667,992.48/4,775.97
  6. Step 6: Final answer
    x = 2,233.68

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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.