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Finding the Fourth Proportional to 3,227.72, 4,841.12 and 1,036.16

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Solution

The fourth proportional to 3,227.72, 4,841.12 and 1,036.16 is: 1,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.72 : 4,841.12 = 1,036.16 : x
  2. Step 2: Convert to fraction form
    3,227.72/4,841.12 = 1,036.16/x
  3. Step 3: Cross multiply
    3,227.72x = 4,841.12 × 1,036.16
  4. Step 4: Simplify right side
    3,227.72x = 5,016,145.51
  5. Step 5: Solve for x
    x = 5,016,145.51/3,227.72
  6. Step 6: Final answer
    x = 1,554.09

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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.