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Finding the Fourth Proportional to 4,406.51, 6,609.67 and 1,286.39

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Solution

The fourth proportional to 4,406.51, 6,609.67 and 1,286.39 is: 1,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.51 : 6,609.67 = 1,286.39 : x
  2. Step 2: Convert to fraction form
    4,406.51/6,609.67 = 1,286.39/x
  3. Step 3: Cross multiply
    4,406.51x = 6,609.67 × 1,286.39
  4. Step 4: Simplify right side
    4,406.51x = 8,502,626.70
  5. Step 5: Solve for x
    x = 8,502,626.70/4,406.51
  6. Step 6: Final answer
    x = 1,929.56

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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.