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Finding the Fourth Proportional to 3,836.50, 5,294.40 and 2,180.50

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Solution

The fourth proportional to 3,836.50, 5,294.40 and 2,180.50 is: 3,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.50 : 5,294.40 = 2,180.50 : x
  2. Step 2: Convert to fraction form
    3,836.50/5,294.40 = 2,180.50/x
  3. Step 3: Cross multiply
    3,836.50x = 5,294.40 × 2,180.50
  4. Step 4: Simplify right side
    3,836.50x = 11,544,439.20
  5. Step 5: Solve for x
    x = 11,544,439.20/3,836.50
  6. Step 6: Final answer
    x = 3,009.11

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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.