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Finding the Fourth Proportional to 3,057.93, 4,586.97 and 866.64

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Solution

The fourth proportional to 3,057.93, 4,586.97 and 866.64 is: 1,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.93 : 4,586.97 = 866.64 : x
  2. Step 2: Convert to fraction form
    3,057.93/4,586.97 = 866.64/x
  3. Step 3: Cross multiply
    3,057.93x = 4,586.97 × 866.64
  4. Step 4: Simplify right side
    3,057.93x = 3,975,251.68
  5. Step 5: Solve for x
    x = 3,975,251.68/3,057.93
  6. Step 6: Final answer
    x = 1,299.98

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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.