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Finding the Fourth Proportional to 3,281.42, 4,922.62 and 1,059.52

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Solution

The fourth proportional to 3,281.42, 4,922.62 and 1,059.52 is: 1,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.42 : 4,922.62 = 1,059.52 : x
  2. Step 2: Convert to fraction form
    3,281.42/4,922.62 = 1,059.52/x
  3. Step 3: Cross multiply
    3,281.42x = 4,922.62 × 1,059.52
  4. Step 4: Simplify right side
    3,281.42x = 5,215,614.34
  5. Step 5: Solve for x
    x = 5,215,614.34/3,281.42
  6. Step 6: Final answer
    x = 1,589.44

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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.