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Finding the Fourth Proportional to 6,901.80, 10,359.90 and 3,985.80

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Solution

The fourth proportional to 6,901.80, 10,359.90 and 3,985.80 is: 5,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.80 : 10,359.90 = 3,985.80 : x
  2. Step 2: Convert to fraction form
    6,901.80/10,359.90 = 3,985.80/x
  3. Step 3: Cross multiply
    6,901.80x = 10,359.90 × 3,985.80
  4. Step 4: Simplify right side
    6,901.80x = 41,292,489.42
  5. Step 5: Solve for x
    x = 41,292,489.42/6,901.80
  6. Step 6: Final answer
    x = 5,982.86

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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.