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Finding the Fourth Proportional to 3,813.27, 5,719.31 and 1,040.16

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Solution

The fourth proportional to 3,813.27, 5,719.31 and 1,040.16 is: 1,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.27 : 5,719.31 = 1,040.16 : x
  2. Step 2: Convert to fraction form
    3,813.27/5,719.31 = 1,040.16/x
  3. Step 3: Cross multiply
    3,813.27x = 5,719.31 × 1,040.16
  4. Step 4: Simplify right side
    3,813.27x = 5,948,997.49
  5. Step 5: Solve for x
    x = 5,948,997.49/3,813.27
  6. Step 6: Final answer
    x = 1,560.08

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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.