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Finding the Fourth Proportional to 6,517.17, 8,991.34 and 4,280.26

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Solution

The fourth proportional to 6,517.17, 8,991.34 and 4,280.26 is: 5,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.17 : 8,991.34 = 4,280.26 : x
  2. Step 2: Convert to fraction form
    6,517.17/8,991.34 = 4,280.26/x
  3. Step 3: Cross multiply
    6,517.17x = 8,991.34 × 4,280.26
  4. Step 4: Simplify right side
    6,517.17x = 38,485,239.77
  5. Step 5: Solve for x
    x = 38,485,239.77/6,517.17
  6. Step 6: Final answer
    x = 5,905.21

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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.