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Finding the Fourth Proportional to 4,314.20, 6,472.20 and 2,463.80

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Solution

The fourth proportional to 4,314.20, 6,472.20 and 2,463.80 is: 3,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.20 : 6,472.20 = 2,463.80 : x
  2. Step 2: Convert to fraction form
    4,314.20/6,472.20 = 2,463.80/x
  3. Step 3: Cross multiply
    4,314.20x = 6,472.20 × 2,463.80
  4. Step 4: Simplify right side
    4,314.20x = 15,946,206.36
  5. Step 5: Solve for x
    x = 15,946,206.36/4,314.20
  6. Step 6: Final answer
    x = 3,696.21

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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.