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Finding the Fourth Proportional to 3,504.80, 5,257.32 and 1,196

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Solution

The fourth proportional to 3,504.80, 5,257.32 and 1,196 is: 1,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.80 : 5,257.32 = 1,196 : x
  2. Step 2: Convert to fraction form
    3,504.80/5,257.32 = 1,196/x
  3. Step 3: Cross multiply
    3,504.80x = 5,257.32 × 1,196
  4. Step 4: Simplify right side
    3,504.80x = 6,287,754.72
  5. Step 5: Solve for x
    x = 6,287,754.72/3,504.80
  6. Step 6: Final answer
    x = 1,794.04

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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.