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Finding the Fourth Proportional to 5,709.71, 8,564.44 and 2,631.71

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Solution

The fourth proportional to 5,709.71, 8,564.44 and 2,631.71 is: 3,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.71 : 8,564.44 = 2,631.71 : x
  2. Step 2: Convert to fraction form
    5,709.71/8,564.44 = 2,631.71/x
  3. Step 3: Cross multiply
    5,709.71x = 8,564.44 × 2,631.71
  4. Step 4: Simplify right side
    5,709.71x = 22,539,109.23
  5. Step 5: Solve for x
    x = 22,539,109.23/5,709.71
  6. Step 6: Final answer
    x = 3,947.51

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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.