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Finding the Fourth Proportional to 4,387.46, 6,573.90 and 3,833.42

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Solution

The fourth proportional to 4,387.46, 6,573.90 and 3,833.42 is: 5,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.46 : 6,573.90 = 3,833.42 : x
  2. Step 2: Convert to fraction form
    4,387.46/6,573.90 = 3,833.42/x
  3. Step 3: Cross multiply
    4,387.46x = 6,573.90 × 3,833.42
  4. Step 4: Simplify right side
    4,387.46x = 25,200,519.74
  5. Step 5: Solve for x
    x = 25,200,519.74/4,387.46
  6. Step 6: Final answer
    x = 5,743.76

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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.