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Finding the Fourth Proportional to 5,102.72, 7,648.62 and 2,636.88

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Solution

The fourth proportional to 5,102.72, 7,648.62 and 2,636.88 is: 3,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.72 : 7,648.62 = 2,636.88 : x
  2. Step 2: Convert to fraction form
    5,102.72/7,648.62 = 2,636.88/x
  3. Step 3: Cross multiply
    5,102.72x = 7,648.62 × 2,636.88
  4. Step 4: Simplify right side
    5,102.72x = 20,168,493.11
  5. Step 5: Solve for x
    x = 20,168,493.11/5,102.72
  6. Step 6: Final answer
    x = 3,952.50

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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.