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Finding the Fourth Proportional to 4,392.38, 6,578.21 and 3,812.11

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Solution

The fourth proportional to 4,392.38, 6,578.21 and 3,812.11 is: 5,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.38 : 6,578.21 = 3,812.11 : x
  2. Step 2: Convert to fraction form
    4,392.38/6,578.21 = 3,812.11/x
  3. Step 3: Cross multiply
    4,392.38x = 6,578.21 × 3,812.11
  4. Step 4: Simplify right side
    4,392.38x = 25,076,838.91
  5. Step 5: Solve for x
    x = 25,076,838.91/4,392.38
  6. Step 6: Final answer
    x = 5,709.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.