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Finding the Fourth Proportional to 5,174.40, 7,761.44 and 2,880.48

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Solution

The fourth proportional to 5,174.40, 7,761.44 and 2,880.48 is: 4,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.40 : 7,761.44 = 2,880.48 : x
  2. Step 2: Convert to fraction form
    5,174.40/7,761.44 = 2,880.48/x
  3. Step 3: Cross multiply
    5,174.40x = 7,761.44 × 2,880.48
  4. Step 4: Simplify right side
    5,174.40x = 22,356,672.69
  5. Step 5: Solve for x
    x = 22,356,672.69/5,174.40
  6. Step 6: Final answer
    x = 4,320.63

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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.