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Finding the Fourth Proportional to 5,071.18, 7,609.38 and 3,838.18

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Solution

The fourth proportional to 5,071.18, 7,609.38 and 3,838.18 is: 5,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.18 : 7,609.38 = 3,838.18 : x
  2. Step 2: Convert to fraction form
    5,071.18/7,609.38 = 3,838.18/x
  3. Step 3: Cross multiply
    5,071.18x = 7,609.38 × 3,838.18
  4. Step 4: Simplify right side
    5,071.18x = 29,206,170.13
  5. Step 5: Solve for x
    x = 29,206,170.13/5,071.18
  6. Step 6: Final answer
    x = 5,759.25

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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.