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Finding the Fourth Proportional to 3,533.80, 4,876.42 and 1,962.12

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Solution

The fourth proportional to 3,533.80, 4,876.42 and 1,962.12 is: 2,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.80 : 4,876.42 = 1,962.12 : x
  2. Step 2: Convert to fraction form
    3,533.80/4,876.42 = 1,962.12/x
  3. Step 3: Cross multiply
    3,533.80x = 4,876.42 × 1,962.12
  4. Step 4: Simplify right side
    3,533.80x = 9,568,121.21
  5. Step 5: Solve for x
    x = 9,568,121.21/3,533.80
  6. Step 6: Final answer
    x = 2,707.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.