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Finding the Fourth Proportional to 5,269.97, 7,908.84 and 2,496.64

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Solution

The fourth proportional to 5,269.97, 7,908.84 and 2,496.64 is: 3,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.97 : 7,908.84 = 2,496.64 : x
  2. Step 2: Convert to fraction form
    5,269.97/7,908.84 = 2,496.64/x
  3. Step 3: Cross multiply
    5,269.97x = 7,908.84 × 2,496.64
  4. Step 4: Simplify right side
    5,269.97x = 19,745,486.75
  5. Step 5: Solve for x
    x = 19,745,486.75/5,269.97
  6. Step 6: Final answer
    x = 3,746.79

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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.