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Finding the Fourth Proportional to 6,241.84, 8,616.90 and 4,822.33

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Solution

The fourth proportional to 6,241.84, 8,616.90 and 4,822.33 is: 6,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.84 : 8,616.90 = 4,822.33 : x
  2. Step 2: Convert to fraction form
    6,241.84/8,616.90 = 4,822.33/x
  3. Step 3: Cross multiply
    6,241.84x = 8,616.90 × 4,822.33
  4. Step 4: Simplify right side
    6,241.84x = 41,553,535.38
  5. Step 5: Solve for x
    x = 41,553,535.38/6,241.84
  6. Step 6: Final answer
    x = 6,657.26

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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.