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Finding the Fourth Proportional to 3,843.36, 5,765.04 and 1,246.32

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Solution

The fourth proportional to 3,843.36, 5,765.04 and 1,246.32 is: 1,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.36 : 5,765.04 = 1,246.32 : x
  2. Step 2: Convert to fraction form
    3,843.36/5,765.04 = 1,246.32/x
  3. Step 3: Cross multiply
    3,843.36x = 5,765.04 × 1,246.32
  4. Step 4: Simplify right side
    3,843.36x = 7,185,084.65
  5. Step 5: Solve for x
    x = 7,185,084.65/3,843.36
  6. Step 6: Final answer
    x = 1,869.48

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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.