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Finding the Fourth Proportional to 5,223.87, 7,836.66 and 2,591.51

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Solution

The fourth proportional to 5,223.87, 7,836.66 and 2,591.51 is: 3,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.87 : 7,836.66 = 2,591.51 : x
  2. Step 2: Convert to fraction form
    5,223.87/7,836.66 = 2,591.51/x
  3. Step 3: Cross multiply
    5,223.87x = 7,836.66 × 2,591.51
  4. Step 4: Simplify right side
    5,223.87x = 20,308,743.57
  5. Step 5: Solve for x
    x = 20,308,743.57/5,223.87
  6. Step 6: Final answer
    x = 3,887.68

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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.