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Finding the Fourth Proportional to 5,586.91, 8,381.11 and 1,837.46

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Solution

The fourth proportional to 5,586.91, 8,381.11 and 1,837.46 is: 2,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.91 : 8,381.11 = 1,837.46 : x
  2. Step 2: Convert to fraction form
    5,586.91/8,381.11 = 1,837.46/x
  3. Step 3: Cross multiply
    5,586.91x = 8,381.11 × 1,837.46
  4. Step 4: Simplify right side
    5,586.91x = 15,399,948.03
  5. Step 5: Solve for x
    x = 15,399,948.03/5,586.91
  6. Step 6: Final answer
    x = 2,756.43

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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.