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Finding the Fourth Proportional to 3,592.42, 5,388.02 and 994.75

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Solution

The fourth proportional to 3,592.42, 5,388.02 and 994.75 is: 1,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.42 : 5,388.02 = 994.75 : x
  2. Step 2: Convert to fraction form
    3,592.42/5,388.02 = 994.75/x
  3. Step 3: Cross multiply
    3,592.42x = 5,388.02 × 994.75
  4. Step 4: Simplify right side
    3,592.42x = 5,359,732.90
  5. Step 5: Solve for x
    x = 5,359,732.90/3,592.42
  6. Step 6: Final answer
    x = 1,491.96

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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.