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Finding the Fourth Proportional to 3,767.60, 5,194.19 and 3,177.11

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Solution

The fourth proportional to 3,767.60, 5,194.19 and 3,177.11 is: 4,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.60 : 5,194.19 = 3,177.11 : x
  2. Step 2: Convert to fraction form
    3,767.60/5,194.19 = 3,177.11/x
  3. Step 3: Cross multiply
    3,767.60x = 5,194.19 × 3,177.11
  4. Step 4: Simplify right side
    3,767.60x = 16,502,497.11
  5. Step 5: Solve for x
    x = 16,502,497.11/3,767.60
  6. Step 6: Final answer
    x = 4,380.11

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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.