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Finding the Fourth Proportional to 3,041.71, 4,564.37 and 1,286.62

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Solution

The fourth proportional to 3,041.71, 4,564.37 and 1,286.62 is: 1,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.71 : 4,564.37 = 1,286.62 : x
  2. Step 2: Convert to fraction form
    3,041.71/4,564.37 = 1,286.62/x
  3. Step 3: Cross multiply
    3,041.71x = 4,564.37 × 1,286.62
  4. Step 4: Simplify right side
    3,041.71x = 5,872,609.73
  5. Step 5: Solve for x
    x = 5,872,609.73/3,041.71
  6. Step 6: Final answer
    x = 1,930.69

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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.