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Finding the Fourth Proportional to 3,926.52, 5,889.78 and 2,193.12

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Solution

The fourth proportional to 3,926.52, 5,889.78 and 2,193.12 is: 3,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.52 : 5,889.78 = 2,193.12 : x
  2. Step 2: Convert to fraction form
    3,926.52/5,889.78 = 2,193.12/x
  3. Step 3: Cross multiply
    3,926.52x = 5,889.78 × 2,193.12
  4. Step 4: Simplify right side
    3,926.52x = 12,916,994.31
  5. Step 5: Solve for x
    x = 12,916,994.31/3,926.52
  6. Step 6: Final answer
    x = 3,289.68

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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.