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Finding the Fourth Proportional to 4,632.61, 6,392.44 and 3,690.80

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Solution

The fourth proportional to 4,632.61, 6,392.44 and 3,690.80 is: 5,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.61 : 6,392.44 = 3,690.80 : x
  2. Step 2: Convert to fraction form
    4,632.61/6,392.44 = 3,690.80/x
  3. Step 3: Cross multiply
    4,632.61x = 6,392.44 × 3,690.80
  4. Step 4: Simplify right side
    4,632.61x = 23,593,217.55
  5. Step 5: Solve for x
    x = 23,593,217.55/4,632.61
  6. Step 6: Final answer
    x = 5,092.86

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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.