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Finding the Fourth Proportional to 5,071.80, 7,608.41 and 2,299.17

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Solution

The fourth proportional to 5,071.80, 7,608.41 and 2,299.17 is: 3,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.80 : 7,608.41 = 2,299.17 : x
  2. Step 2: Convert to fraction form
    5,071.80/7,608.41 = 2,299.17/x
  3. Step 3: Cross multiply
    5,071.80x = 7,608.41 × 2,299.17
  4. Step 4: Simplify right side
    5,071.80x = 17,493,028.02
  5. Step 5: Solve for x
    x = 17,493,028.02/5,071.80
  6. Step 6: Final answer
    x = 3,449.08

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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.