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Finding the Fourth Proportional to 5,967.87, 8,239.10 and 3,984.99

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Solution

The fourth proportional to 5,967.87, 8,239.10 and 3,984.99 is: 5,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.87 : 8,239.10 = 3,984.99 : x
  2. Step 2: Convert to fraction form
    5,967.87/8,239.10 = 3,984.99/x
  3. Step 3: Cross multiply
    5,967.87x = 8,239.10 × 3,984.99
  4. Step 4: Simplify right side
    5,967.87x = 32,832,731.11
  5. Step 5: Solve for x
    x = 32,832,731.11/5,967.87
  6. Step 6: Final answer
    x = 5,501.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.