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Finding the Fourth Proportional to 5,225.46, 7,204.01 and 3,730.78

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Solution

The fourth proportional to 5,225.46, 7,204.01 and 3,730.78 is: 5,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.46 : 7,204.01 = 3,730.78 : x
  2. Step 2: Convert to fraction form
    5,225.46/7,204.01 = 3,730.78/x
  3. Step 3: Cross multiply
    5,225.46x = 7,204.01 × 3,730.78
  4. Step 4: Simplify right side
    5,225.46x = 26,876,553.75
  5. Step 5: Solve for x
    x = 26,876,553.75/5,225.46
  6. Step 6: Final answer
    x = 5,143.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.