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Finding the Fourth Proportional to 3,759.08, 5,638.06 and 985.80

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Solution

The fourth proportional to 3,759.08, 5,638.06 and 985.80 is: 1,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.08 : 5,638.06 = 985.80 : x
  2. Step 2: Convert to fraction form
    3,759.08/5,638.06 = 985.80/x
  3. Step 3: Cross multiply
    3,759.08x = 5,638.06 × 985.80
  4. Step 4: Simplify right side
    3,759.08x = 5,557,999.55
  5. Step 5: Solve for x
    x = 5,557,999.55/3,759.08
  6. Step 6: Final answer
    x = 1,478.55

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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.