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Finding the Fourth Proportional to 5,991.31, 9,019.32 and 5,388.52

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Solution

The fourth proportional to 5,991.31, 9,019.32 and 5,388.52 is: 8,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.31 : 9,019.32 = 5,388.52 : x
  2. Step 2: Convert to fraction form
    5,991.31/9,019.32 = 5,388.52/x
  3. Step 3: Cross multiply
    5,991.31x = 9,019.32 × 5,388.52
  4. Step 4: Simplify right side
    5,991.31x = 48,600,727.64
  5. Step 5: Solve for x
    x = 48,600,727.64/5,991.31
  6. Step 6: Final answer
    x = 8,111.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.