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Finding the Fourth Proportional to 3,227.58, 4,842 and 1,036.14

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Solution

The fourth proportional to 3,227.58, 4,842 and 1,036.14 is: 1,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.58 : 4,842 = 1,036.14 : x
  2. Step 2: Convert to fraction form
    3,227.58/4,842 = 1,036.14/x
  3. Step 3: Cross multiply
    3,227.58x = 4,842 × 1,036.14
  4. Step 4: Simplify right side
    3,227.58x = 5,016,989.88
  5. Step 5: Solve for x
    x = 5,016,989.88/3,227.58
  6. Step 6: Final answer
    x = 1,554.41

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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.