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Finding the Fourth Proportional to 3,738.95, 5,151.76 and 3,397.23

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Solution

The fourth proportional to 3,738.95, 5,151.76 and 3,397.23 is: 4,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.95 : 5,151.76 = 3,397.23 : x
  2. Step 2: Convert to fraction form
    3,738.95/5,151.76 = 3,397.23/x
  3. Step 3: Cross multiply
    3,738.95x = 5,151.76 × 3,397.23
  4. Step 4: Simplify right side
    3,738.95x = 17,501,713.62
  5. Step 5: Solve for x
    x = 17,501,713.62/3,738.95
  6. Step 6: Final answer
    x = 4,680.92

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