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Finding the Fourth Proportional to 3,672.74, 5,053.34 and 3,173.78

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Solution

The fourth proportional to 3,672.74, 5,053.34 and 3,173.78 is: 4,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.74 : 5,053.34 = 3,173.78 : x
  2. Step 2: Convert to fraction form
    3,672.74/5,053.34 = 3,173.78/x
  3. Step 3: Cross multiply
    3,672.74x = 5,053.34 × 3,173.78
  4. Step 4: Simplify right side
    3,672.74x = 16,038,189.43
  5. Step 5: Solve for x
    x = 16,038,189.43/3,672.74
  6. Step 6: Final answer
    x = 4,366.82

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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.