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Finding the Fourth Proportional to 5,309.92, 7,964.88 and 2,575.84

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Solution

The fourth proportional to 5,309.92, 7,964.88 and 2,575.84 is: 3,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.92 : 7,964.88 = 2,575.84 : x
  2. Step 2: Convert to fraction form
    5,309.92/7,964.88 = 2,575.84/x
  3. Step 3: Cross multiply
    5,309.92x = 7,964.88 × 2,575.84
  4. Step 4: Simplify right side
    5,309.92x = 20,516,256.50
  5. Step 5: Solve for x
    x = 20,516,256.50/5,309.92
  6. Step 6: Final answer
    x = 3,863.76

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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.