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Finding the Fourth Proportional to 3,542.27, 5,322.99 and 1,899.99

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Solution

The fourth proportional to 3,542.27, 5,322.99 and 1,899.99 is: 2,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.27 : 5,322.99 = 1,899.99 : x
  2. Step 2: Convert to fraction form
    3,542.27/5,322.99 = 1,899.99/x
  3. Step 3: Cross multiply
    3,542.27x = 5,322.99 × 1,899.99
  4. Step 4: Simplify right side
    3,542.27x = 10,113,654.86
  5. Step 5: Solve for x
    x = 10,113,654.86/3,542.27
  6. Step 6: Final answer
    x = 2,855.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.