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Finding the Fourth Proportional to 5,838.36, 8,759.88 and 2,142.36

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Solution

The fourth proportional to 5,838.36, 8,759.88 and 2,142.36 is: 3,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.36 : 8,759.88 = 2,142.36 : x
  2. Step 2: Convert to fraction form
    5,838.36/8,759.88 = 2,142.36/x
  3. Step 3: Cross multiply
    5,838.36x = 8,759.88 × 2,142.36
  4. Step 4: Simplify right side
    5,838.36x = 18,766,816.52
  5. Step 5: Solve for x
    x = 18,766,816.52/5,838.36
  6. Step 6: Final answer
    x = 3,214.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.