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Finding the Fourth Proportional to 3,813.55, 5,720.83 and 1,040.31

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Solution

The fourth proportional to 3,813.55, 5,720.83 and 1,040.31 is: 1,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.55 : 5,720.83 = 1,040.31 : x
  2. Step 2: Convert to fraction form
    3,813.55/5,720.83 = 1,040.31/x
  3. Step 3: Cross multiply
    3,813.55x = 5,720.83 × 1,040.31
  4. Step 4: Simplify right side
    3,813.55x = 5,951,434.06
  5. Step 5: Solve for x
    x = 5,951,434.06/3,813.55
  6. Step 6: Final answer
    x = 1,560.60

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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.