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Finding the Fourth Proportional to 3,774.32, 5,208.32 and 2,095.73

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Solution

The fourth proportional to 3,774.32, 5,208.32 and 2,095.73 is: 2,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.32 : 5,208.32 = 2,095.73 : x
  2. Step 2: Convert to fraction form
    3,774.32/5,208.32 = 2,095.73/x
  3. Step 3: Cross multiply
    3,774.32x = 5,208.32 × 2,095.73
  4. Step 4: Simplify right side
    3,774.32x = 10,915,232.47
  5. Step 5: Solve for x
    x = 10,915,232.47/3,774.32
  6. Step 6: Final answer
    x = 2,891.97

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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.