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Finding the Fourth Proportional to 3,756.82, 5,184.32 and 2,078.19

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Solution

The fourth proportional to 3,756.82, 5,184.32 and 2,078.19 is: 2,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.82 : 5,184.32 = 2,078.19 : x
  2. Step 2: Convert to fraction form
    3,756.82/5,184.32 = 2,078.19/x
  3. Step 3: Cross multiply
    3,756.82x = 5,184.32 × 2,078.19
  4. Step 4: Simplify right side
    3,756.82x = 10,774,003.28
  5. Step 5: Solve for x
    x = 10,774,003.28/3,756.82
  6. Step 6: Final answer
    x = 2,867.85

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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.