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Finding the Fourth Proportional to 3,858.11, 5,318.74 and 2,738.64

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Solution

The fourth proportional to 3,858.11, 5,318.74 and 2,738.64 is: 3,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.11 : 5,318.74 = 2,738.64 : x
  2. Step 2: Convert to fraction form
    3,858.11/5,318.74 = 2,738.64/x
  3. Step 3: Cross multiply
    3,858.11x = 5,318.74 × 2,738.64
  4. Step 4: Simplify right side
    3,858.11x = 14,566,092.16
  5. Step 5: Solve for x
    x = 14,566,092.16/3,858.11
  6. Step 6: Final answer
    x = 3,775.45

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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.