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Finding the Fourth Proportional to 3,486.20, 5,230.02 and 1,177.88

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Solution

The fourth proportional to 3,486.20, 5,230.02 and 1,177.88 is: 1,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.20 : 5,230.02 = 1,177.88 : x
  2. Step 2: Convert to fraction form
    3,486.20/5,230.02 = 1,177.88/x
  3. Step 3: Cross multiply
    3,486.20x = 5,230.02 × 1,177.88
  4. Step 4: Simplify right side
    3,486.20x = 6,160,335.96
  5. Step 5: Solve for x
    x = 6,160,335.96/3,486.20
  6. Step 6: Final answer
    x = 1,767.06

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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.