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Finding the Fourth Proportional to 5,609.50, 7,741.36 and 3,251.18

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Solution

The fourth proportional to 5,609.50, 7,741.36 and 3,251.18 is: 4,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.50 : 7,741.36 = 3,251.18 : x
  2. Step 2: Convert to fraction form
    5,609.50/7,741.36 = 3,251.18/x
  3. Step 3: Cross multiply
    5,609.50x = 7,741.36 × 3,251.18
  4. Step 4: Simplify right side
    5,609.50x = 25,168,554.80
  5. Step 5: Solve for x
    x = 25,168,554.80/5,609.50
  6. Step 6: Final answer
    x = 4,486.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.