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Finding the Fourth Proportional to 3,828.38, 5,742.55 and 1,055.44

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Solution

The fourth proportional to 3,828.38, 5,742.55 and 1,055.44 is: 1,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.38 : 5,742.55 = 1,055.44 : x
  2. Step 2: Convert to fraction form
    3,828.38/5,742.55 = 1,055.44/x
  3. Step 3: Cross multiply
    3,828.38x = 5,742.55 × 1,055.44
  4. Step 4: Simplify right side
    3,828.38x = 6,060,882.98
  5. Step 5: Solve for x
    x = 6,060,882.98/3,828.38
  6. Step 6: Final answer
    x = 1,583.15

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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.