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Finding the Fourth Proportional to 3,765.79, 5,648.68 and 3,279.18

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Solution

The fourth proportional to 3,765.79, 5,648.68 and 3,279.18 is: 4,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.79 : 5,648.68 = 3,279.18 : x
  2. Step 2: Convert to fraction form
    3,765.79/5,648.68 = 3,279.18/x
  3. Step 3: Cross multiply
    3,765.79x = 5,648.68 × 3,279.18
  4. Step 4: Simplify right side
    3,765.79x = 18,523,038.48
  5. Step 5: Solve for x
    x = 18,523,038.48/3,765.79
  6. Step 6: Final answer
    x = 4,918.77

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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.