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Finding the Fourth Proportional to 3,538.80, 4,884.12 and 2,142.24

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Solution

The fourth proportional to 3,538.80, 4,884.12 and 2,142.24 is: 2,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.80 : 4,884.12 = 2,142.24 : x
  2. Step 2: Convert to fraction form
    3,538.80/4,884.12 = 2,142.24/x
  3. Step 3: Cross multiply
    3,538.80x = 4,884.12 × 2,142.24
  4. Step 4: Simplify right side
    3,538.80x = 10,462,957.23
  5. Step 5: Solve for x
    x = 10,462,957.23/3,538.80
  6. Step 6: Final answer
    x = 2,956.64

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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.