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Finding the Fourth Proportional to 4,231.94, 5,840.08 and 2,368.94

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Solution

The fourth proportional to 4,231.94, 5,840.08 and 2,368.94 is: 3,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.94 : 5,840.08 = 2,368.94 : x
  2. Step 2: Convert to fraction form
    4,231.94/5,840.08 = 2,368.94/x
  3. Step 3: Cross multiply
    4,231.94x = 5,840.08 × 2,368.94
  4. Step 4: Simplify right side
    4,231.94x = 13,834,787.27
  5. Step 5: Solve for x
    x = 13,834,787.27/4,231.94
  6. Step 6: Final answer
    x = 3,269.14

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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.