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Finding the Fourth Proportional to 4,232.74, 5,839.22 and 2,741.14

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Solution

The fourth proportional to 4,232.74, 5,839.22 and 2,741.14 is: 3,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.74 : 5,839.22 = 2,741.14 : x
  2. Step 2: Convert to fraction form
    4,232.74/5,839.22 = 2,741.14/x
  3. Step 3: Cross multiply
    4,232.74x = 5,839.22 × 2,741.14
  4. Step 4: Simplify right side
    4,232.74x = 16,006,119.51
  5. Step 5: Solve for x
    x = 16,006,119.51/4,232.74
  6. Step 6: Final answer
    x = 3,781.50

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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.