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Finding the Fourth Proportional to 5,962.40, 8,224.08 and 4,912.80

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Solution

The fourth proportional to 5,962.40, 8,224.08 and 4,912.80 is: 6,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.40 : 8,224.08 = 4,912.80 : x
  2. Step 2: Convert to fraction form
    5,962.40/8,224.08 = 4,912.80/x
  3. Step 3: Cross multiply
    5,962.40x = 8,224.08 × 4,912.80
  4. Step 4: Simplify right side
    5,962.40x = 40,403,260.22
  5. Step 5: Solve for x
    x = 40,403,260.22/5,962.40
  6. Step 6: Final answer
    x = 6,776.34

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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.