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Finding the Fourth Proportional to 3,759.15, 5,638.56 and 985.76

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Solution

The fourth proportional to 3,759.15, 5,638.56 and 985.76 is: 1,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.15 : 5,638.56 = 985.76 : x
  2. Step 2: Convert to fraction form
    3,759.15/5,638.56 = 985.76/x
  3. Step 3: Cross multiply
    3,759.15x = 5,638.56 × 985.76
  4. Step 4: Simplify right side
    3,759.15x = 5,558,266.91
  5. Step 5: Solve for x
    x = 5,558,266.91/3,759.15
  6. Step 6: Final answer
    x = 1,478.60

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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.