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Finding the Fourth Proportional to 3,504.65, 5,253.41 and 2,272.84

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Solution

The fourth proportional to 3,504.65, 5,253.41 and 2,272.84 is: 3,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.65 : 5,253.41 = 2,272.84 : x
  2. Step 2: Convert to fraction form
    3,504.65/5,253.41 = 2,272.84/x
  3. Step 3: Cross multiply
    3,504.65x = 5,253.41 × 2,272.84
  4. Step 4: Simplify right side
    3,504.65x = 11,940,152.93
  5. Step 5: Solve for x
    x = 11,940,152.93/3,504.65
  6. Step 6: Final answer
    x = 3,406.95

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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.