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Finding the Fourth Proportional to 4,765.28, 7,149.97 and 2,301.95

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Solution

The fourth proportional to 4,765.28, 7,149.97 and 2,301.95 is: 3,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.28 : 7,149.97 = 2,301.95 : x
  2. Step 2: Convert to fraction form
    4,765.28/7,149.97 = 2,301.95/x
  3. Step 3: Cross multiply
    4,765.28x = 7,149.97 × 2,301.95
  4. Step 4: Simplify right side
    4,765.28x = 16,458,849.81
  5. Step 5: Solve for x
    x = 16,458,849.81/4,765.28
  6. Step 6: Final answer
    x = 3,453.91

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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.