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Finding the Fourth Proportional to 5,762.16, 8,644.92 and 2,299.92

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Solution

The fourth proportional to 5,762.16, 8,644.92 and 2,299.92 is: 3,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.16 : 8,644.92 = 2,299.92 : x
  2. Step 2: Convert to fraction form
    5,762.16/8,644.92 = 2,299.92/x
  3. Step 3: Cross multiply
    5,762.16x = 8,644.92 × 2,299.92
  4. Step 4: Simplify right side
    5,762.16x = 19,882,624.41
  5. Step 5: Solve for x
    x = 19,882,624.41/5,762.16
  6. Step 6: Final answer
    x = 3,450.55

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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.