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Finding the Fourth Proportional to 4,773.28, 7,151.82 and 2,309.26

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Solution

The fourth proportional to 4,773.28, 7,151.82 and 2,309.26 is: 3,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.28 : 7,151.82 = 2,309.26 : x
  2. Step 2: Convert to fraction form
    4,773.28/7,151.82 = 2,309.26/x
  3. Step 3: Cross multiply
    4,773.28x = 7,151.82 × 2,309.26
  4. Step 4: Simplify right side
    4,773.28x = 16,515,411.85
  5. Step 5: Solve for x
    x = 16,515,411.85/4,773.28
  6. Step 6: Final answer
    x = 3,459.97

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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.