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Finding the Fourth Proportional to 3,485.88, 5,229.30 and 1,020.87

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Solution

The fourth proportional to 3,485.88, 5,229.30 and 1,020.87 is: 1,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.88 : 5,229.30 = 1,020.87 : x
  2. Step 2: Convert to fraction form
    3,485.88/5,229.30 = 1,020.87/x
  3. Step 3: Cross multiply
    3,485.88x = 5,229.30 × 1,020.87
  4. Step 4: Simplify right side
    3,485.88x = 5,338,435.49
  5. Step 5: Solve for x
    x = 5,338,435.49/3,485.88
  6. Step 6: Final answer
    x = 1,531.45

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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.