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Finding the Fourth Proportional to 5,173.24, 7,761.60 and 2,253.46

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Solution

The fourth proportional to 5,173.24, 7,761.60 and 2,253.46 is: 3,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.24 : 7,761.60 = 2,253.46 : x
  2. Step 2: Convert to fraction form
    5,173.24/7,761.60 = 2,253.46/x
  3. Step 3: Cross multiply
    5,173.24x = 7,761.60 × 2,253.46
  4. Step 4: Simplify right side
    5,173.24x = 17,490,455.14
  5. Step 5: Solve for x
    x = 17,490,455.14/5,173.24
  6. Step 6: Final answer
    x = 3,380.95

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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.