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Finding the Fourth Proportional to 5,962.26, 8,225.06 and 4,194.84

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Solution

The fourth proportional to 5,962.26, 8,225.06 and 4,194.84 is: 5,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.26 : 8,225.06 = 4,194.84 : x
  2. Step 2: Convert to fraction form
    5,962.26/8,225.06 = 4,194.84/x
  3. Step 3: Cross multiply
    5,962.26x = 8,225.06 × 4,194.84
  4. Step 4: Simplify right side
    5,962.26x = 34,502,810.69
  5. Step 5: Solve for x
    x = 34,502,810.69/5,962.26
  6. Step 6: Final answer
    x = 5,786.87

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