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Finding the Fourth Proportional to 5,589.06, 8,381 and 5,151.30

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Solution

The fourth proportional to 5,589.06, 8,381 and 5,151.30 is: 7,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.06 : 8,381 = 5,151.30 : x
  2. Step 2: Convert to fraction form
    5,589.06/8,381 = 5,151.30/x
  3. Step 3: Cross multiply
    5,589.06x = 8,381 × 5,151.30
  4. Step 4: Simplify right side
    5,589.06x = 43,173,045.30
  5. Step 5: Solve for x
    x = 43,173,045.30/5,589.06
  6. Step 6: Final answer
    x = 7,724.56

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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.