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Finding the Fourth Proportional to 6,197.42, 8,552.45 and 3,364.80

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Solution

The fourth proportional to 6,197.42, 8,552.45 and 3,364.80 is: 4,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.42 : 8,552.45 = 3,364.80 : x
  2. Step 2: Convert to fraction form
    6,197.42/8,552.45 = 3,364.80/x
  3. Step 3: Cross multiply
    6,197.42x = 8,552.45 × 3,364.80
  4. Step 4: Simplify right side
    6,197.42x = 28,777,306.04
  5. Step 5: Solve for x
    x = 28,777,306.04/6,197.42
  6. Step 6: Final answer
    x = 4,643.43

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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.