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Finding the Fourth Proportional to 5,585.87, 7,709.64 and 3,227.69

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Solution

The fourth proportional to 5,585.87, 7,709.64 and 3,227.69 is: 4,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.87 : 7,709.64 = 3,227.69 : x
  2. Step 2: Convert to fraction form
    5,585.87/7,709.64 = 3,227.69/x
  3. Step 3: Cross multiply
    5,585.87x = 7,709.64 × 3,227.69
  4. Step 4: Simplify right side
    5,585.87x = 24,884,327.93
  5. Step 5: Solve for x
    x = 24,884,327.93/5,585.87
  6. Step 6: Final answer
    x = 4,454.87

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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.