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Finding the Fourth Proportional to 5,676.64, 8,512.08 and 2,596

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Solution

The fourth proportional to 5,676.64, 8,512.08 and 2,596 is: 3,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.64 : 8,512.08 = 2,596 : x
  2. Step 2: Convert to fraction form
    5,676.64/8,512.08 = 2,596/x
  3. Step 3: Cross multiply
    5,676.64x = 8,512.08 × 2,596
  4. Step 4: Simplify right side
    5,676.64x = 22,097,359.68
  5. Step 5: Solve for x
    x = 22,097,359.68/5,676.64
  6. Step 6: Final answer
    x = 3,892.68

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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.