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Finding the Fourth Proportional to 3,751.62, 5,174.28 and 3,500.11

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Solution

The fourth proportional to 3,751.62, 5,174.28 and 3,500.11 is: 4,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.62 : 5,174.28 = 3,500.11 : x
  2. Step 2: Convert to fraction form
    3,751.62/5,174.28 = 3,500.11/x
  3. Step 3: Cross multiply
    3,751.62x = 5,174.28 × 3,500.11
  4. Step 4: Simplify right side
    3,751.62x = 18,110,549.17
  5. Step 5: Solve for x
    x = 18,110,549.17/3,751.62
  6. Step 6: Final answer
    x = 4,827.39

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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.