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Finding the Fourth Proportional to 3,734.72, 5,151.76 and 3,293.68

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Solution

The fourth proportional to 3,734.72, 5,151.76 and 3,293.68 is: 4,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.72 : 5,151.76 = 3,293.68 : x
  2. Step 2: Convert to fraction form
    3,734.72/5,151.76 = 3,293.68/x
  3. Step 3: Cross multiply
    3,734.72x = 5,151.76 × 3,293.68
  4. Step 4: Simplify right side
    3,734.72x = 16,968,248.88
  5. Step 5: Solve for x
    x = 16,968,248.88/3,734.72
  6. Step 6: Final answer
    x = 4,543.38

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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.