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Finding the Fourth Proportional to 4,231.76, 5,839.82 and 2,368.76

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Solution

The fourth proportional to 4,231.76, 5,839.82 and 2,368.76 is: 3,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.76 : 5,839.82 = 2,368.76 : x
  2. Step 2: Convert to fraction form
    4,231.76/5,839.82 = 2,368.76/x
  3. Step 3: Cross multiply
    4,231.76x = 5,839.82 × 2,368.76
  4. Step 4: Simplify right side
    4,231.76x = 13,833,132.02
  5. Step 5: Solve for x
    x = 13,833,132.02/4,231.76
  6. Step 6: Final answer
    x = 3,268.88

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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.