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Finding the Fourth Proportional to 5,338.74, 7,361.91 and 3,853.74

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Solution

The fourth proportional to 5,338.74, 7,361.91 and 3,853.74 is: 5,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.74 : 7,361.91 = 3,853.74 : x
  2. Step 2: Convert to fraction form
    5,338.74/7,361.91 = 3,853.74/x
  3. Step 3: Cross multiply
    5,338.74x = 7,361.91 × 3,853.74
  4. Step 4: Simplify right side
    5,338.74x = 28,370,887.04
  5. Step 5: Solve for x
    x = 28,370,887.04/5,338.74
  6. Step 6: Final answer
    x = 5,314.15

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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.