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Finding the Fourth Proportional to 5,104.57, 7,656.86 and 2,638.12

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Solution

The fourth proportional to 5,104.57, 7,656.86 and 2,638.12 is: 3,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.57 : 7,656.86 = 2,638.12 : x
  2. Step 2: Convert to fraction form
    5,104.57/7,656.86 = 2,638.12/x
  3. Step 3: Cross multiply
    5,104.57x = 7,656.86 × 2,638.12
  4. Step 4: Simplify right side
    5,104.57x = 20,199,715.50
  5. Step 5: Solve for x
    x = 20,199,715.50/5,104.57
  6. Step 6: Final answer
    x = 3,957.18

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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.