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Finding the Fourth Proportional to 3,485.85, 5,229.11 and 1,020.69

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Solution

The fourth proportional to 3,485.85, 5,229.11 and 1,020.69 is: 1,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.85 : 5,229.11 = 1,020.69 : x
  2. Step 2: Convert to fraction form
    3,485.85/5,229.11 = 1,020.69/x
  3. Step 3: Cross multiply
    3,485.85x = 5,229.11 × 1,020.69
  4. Step 4: Simplify right side
    3,485.85x = 5,337,300.29
  5. Step 5: Solve for x
    x = 5,337,300.29/3,485.85
  6. Step 6: Final answer
    x = 1,531.13

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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.