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Finding the Fourth Proportional to 3,870.73, 5,805.80 and 1,238.13

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Solution

The fourth proportional to 3,870.73, 5,805.80 and 1,238.13 is: 1,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.73 : 5,805.80 = 1,238.13 : x
  2. Step 2: Convert to fraction form
    3,870.73/5,805.80 = 1,238.13/x
  3. Step 3: Cross multiply
    3,870.73x = 5,805.80 × 1,238.13
  4. Step 4: Simplify right side
    3,870.73x = 7,188,335.15
  5. Step 5: Solve for x
    x = 7,188,335.15/3,870.73
  6. Step 6: Final answer
    x = 1,857.10

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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.