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Finding the Fourth Proportional to 4,806.32, 7,209.72 and 2,033.12

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Solution

The fourth proportional to 4,806.32, 7,209.72 and 2,033.12 is: 3,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.32 : 7,209.72 = 2,033.12 : x
  2. Step 2: Convert to fraction form
    4,806.32/7,209.72 = 2,033.12/x
  3. Step 3: Cross multiply
    4,806.32x = 7,209.72 × 2,033.12
  4. Step 4: Simplify right side
    4,806.32x = 14,658,225.93
  5. Step 5: Solve for x
    x = 14,658,225.93/4,806.32
  6. Step 6: Final answer
    x = 3,049.78

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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.