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Finding the Fourth Proportional to 5,126.88, 7,697.61 and 3,902.16

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Solution

The fourth proportional to 5,126.88, 7,697.61 and 3,902.16 is: 5,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.88 : 7,697.61 = 3,902.16 : x
  2. Step 2: Convert to fraction form
    5,126.88/7,697.61 = 3,902.16/x
  3. Step 3: Cross multiply
    5,126.88x = 7,697.61 × 3,902.16
  4. Step 4: Simplify right side
    5,126.88x = 30,037,305.84
  5. Step 5: Solve for x
    x = 30,037,305.84/5,126.88
  6. Step 6: Final answer
    x = 5,858.79

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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.