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Finding the Fourth Proportional to 6,688.59, 9,231.56 and 3,857.79

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Solution

The fourth proportional to 6,688.59, 9,231.56 and 3,857.79 is: 5,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.59 : 9,231.56 = 3,857.79 : x
  2. Step 2: Convert to fraction form
    6,688.59/9,231.56 = 3,857.79/x
  3. Step 3: Cross multiply
    6,688.59x = 9,231.56 × 3,857.79
  4. Step 4: Simplify right side
    6,688.59x = 35,613,400.56
  5. Step 5: Solve for x
    x = 35,613,400.56/6,688.59
  6. Step 6: Final answer
    x = 5,324.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.