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Finding the Fourth Proportional to 4,521.81, 6,786.84 and 3,144

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Solution

The fourth proportional to 4,521.81, 6,786.84 and 3,144 is: 4,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521.81 : 6,786.84 = 3,144 : x
  2. Step 2: Convert to fraction form
    4,521.81/6,786.84 = 3,144/x
  3. Step 3: Cross multiply
    4,521.81x = 6,786.84 × 3,144
  4. Step 4: Simplify right side
    4,521.81x = 21,337,824.96
  5. Step 5: Solve for x
    x = 21,337,824.96/4,521.81
  6. Step 6: Final answer
    x = 4,718.87

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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.