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Finding the Fourth Proportional to 5,716.76, 8,576.68 and 2,383.90

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Solution

The fourth proportional to 5,716.76, 8,576.68 and 2,383.90 is: 3,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.76 : 8,576.68 = 2,383.90 : x
  2. Step 2: Convert to fraction form
    5,716.76/8,576.68 = 2,383.90/x
  3. Step 3: Cross multiply
    5,716.76x = 8,576.68 × 2,383.90
  4. Step 4: Simplify right side
    5,716.76x = 20,445,947.45
  5. Step 5: Solve for x
    x = 20,445,947.45/5,716.76
  6. Step 6: Final answer
    x = 3,576.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.