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Finding the Fourth Proportional to 4,586.34, 6,871.14 and 2,943.12

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Solution

The fourth proportional to 4,586.34, 6,871.14 and 2,943.12 is: 4,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.34 : 6,871.14 = 2,943.12 : x
  2. Step 2: Convert to fraction form
    4,586.34/6,871.14 = 2,943.12/x
  3. Step 3: Cross multiply
    4,586.34x = 6,871.14 × 2,943.12
  4. Step 4: Simplify right side
    4,586.34x = 20,222,589.56
  5. Step 5: Solve for x
    x = 20,222,589.56/4,586.34
  6. Step 6: Final answer
    x = 4,409.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.