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Finding the Fourth Proportional to 3,677.72, 5,512.81 and 1,595.97

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Solution

The fourth proportional to 3,677.72, 5,512.81 and 1,595.97 is: 2,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.72 : 5,512.81 = 1,595.97 : x
  2. Step 2: Convert to fraction form
    3,677.72/5,512.81 = 1,595.97/x
  3. Step 3: Cross multiply
    3,677.72x = 5,512.81 × 1,595.97
  4. Step 4: Simplify right side
    3,677.72x = 8,798,278.38
  5. Step 5: Solve for x
    x = 8,798,278.38/3,677.72
  6. Step 6: Final answer
    x = 2,392.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.