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Finding the Fourth Proportional to 3,774.09, 5,208.44 and 2,095.46

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Solution

The fourth proportional to 3,774.09, 5,208.44 and 2,095.46 is: 2,891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.09 : 5,208.44 = 2,095.46 : x
  2. Step 2: Convert to fraction form
    3,774.09/5,208.44 = 2,095.46/x
  3. Step 3: Cross multiply
    3,774.09x = 5,208.44 × 2,095.46
  4. Step 4: Simplify right side
    3,774.09x = 10,914,041.16
  5. Step 5: Solve for x
    x = 10,914,041.16/3,774.09
  6. Step 6: Final answer
    x = 2,891.83

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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.