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Finding the Fourth Proportional to 4,560.52, 6,833.34 and 3,463.48

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Solution

The fourth proportional to 4,560.52, 6,833.34 and 3,463.48 is: 5,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.52 : 6,833.34 = 3,463.48 : x
  2. Step 2: Convert to fraction form
    4,560.52/6,833.34 = 3,463.48/x
  3. Step 3: Cross multiply
    4,560.52x = 6,833.34 × 3,463.48
  4. Step 4: Simplify right side
    4,560.52x = 23,667,136.42
  5. Step 5: Solve for x
    x = 23,667,136.42/4,560.52
  6. Step 6: Final answer
    x = 5,189.57

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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.