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Finding the Fourth Proportional to 6,857.56, 10,290.18 and 3,737.78

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Solution

The fourth proportional to 6,857.56, 10,290.18 and 3,737.78 is: 5,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.56 : 10,290.18 = 3,737.78 : x
  2. Step 2: Convert to fraction form
    6,857.56/10,290.18 = 3,737.78/x
  3. Step 3: Cross multiply
    6,857.56x = 10,290.18 × 3,737.78
  4. Step 4: Simplify right side
    6,857.56x = 38,462,429.00
  5. Step 5: Solve for x
    x = 38,462,429.00/6,857.56
  6. Step 6: Final answer
    x = 5,608.76

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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.