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Finding the Fourth Proportional to 5,181.60, 7,769.55 and 3,540

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Solution

The fourth proportional to 5,181.60, 7,769.55 and 3,540 is: 5,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.60 : 7,769.55 = 3,540 : x
  2. Step 2: Convert to fraction form
    5,181.60/7,769.55 = 3,540/x
  3. Step 3: Cross multiply
    5,181.60x = 7,769.55 × 3,540
  4. Step 4: Simplify right side
    5,181.60x = 27,504,207
  5. Step 5: Solve for x
    x = 27,504,207/5,181.60
  6. Step 6: Final answer
    x = 5,308.05

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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.