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Finding the Fourth Proportional to 4,232.41, 5,840.71 and 2,369.41

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Solution

The fourth proportional to 4,232.41, 5,840.71 and 2,369.41 is: 3,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.41 : 5,840.71 = 2,369.41 : x
  2. Step 2: Convert to fraction form
    4,232.41/5,840.71 = 2,369.41/x
  3. Step 3: Cross multiply
    4,232.41x = 5,840.71 × 2,369.41
  4. Step 4: Simplify right side
    4,232.41x = 13,839,016.16
  5. Step 5: Solve for x
    x = 13,839,016.16/4,232.41
  6. Step 6: Final answer
    x = 3,269.77

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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.