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Finding the Fourth Proportional to 4,230.57, 5,838.00 and 2,342.02

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Solution

The fourth proportional to 4,230.57, 5,838.00 and 2,342.02 is: 3,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.57 : 5,838.00 = 2,342.02 : x
  2. Step 2: Convert to fraction form
    4,230.57/5,838.00 = 2,342.02/x
  3. Step 3: Cross multiply
    4,230.57x = 5,838.00 × 2,342.02
  4. Step 4: Simplify right side
    4,230.57x = 13,672,735.40
  5. Step 5: Solve for x
    x = 13,672,735.40/4,230.57
  6. Step 6: Final answer
    x = 3,231.89

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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.