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Finding the Fourth Proportional to 3,868.44, 5,341.92 and 2,473.56

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Solution

The fourth proportional to 3,868.44, 5,341.92 and 2,473.56 is: 3,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.44 : 5,341.92 = 2,473.56 : x
  2. Step 2: Convert to fraction form
    3,868.44/5,341.92 = 2,473.56/x
  3. Step 3: Cross multiply
    3,868.44x = 5,341.92 × 2,473.56
  4. Step 4: Simplify right side
    3,868.44x = 13,213,559.64
  5. Step 5: Solve for x
    x = 13,213,559.64/3,868.44
  6. Step 6: Final answer
    x = 3,415.73

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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.