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Finding the Fourth Proportional to 3,749, 5,176.02 and 3,355.34

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Solution

The fourth proportional to 3,749, 5,176.02 and 3,355.34 is: 4,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749 : 5,176.02 = 3,355.34 : x
  2. Step 2: Convert to fraction form
    3,749/5,176.02 = 3,355.34/x
  3. Step 3: Cross multiply
    3,749x = 5,176.02 × 3,355.34
  4. Step 4: Simplify right side
    3,749x = 17,367,306.95
  5. Step 5: Solve for x
    x = 17,367,306.95/3,749
  6. Step 6: Final answer
    x = 4,632.52

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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.