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Finding the Fourth Proportional to 3,934.01, 5,900.21 and 1,853.43

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Solution

The fourth proportional to 3,934.01, 5,900.21 and 1,853.43 is: 2,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.01 : 5,900.21 = 1,853.43 : x
  2. Step 2: Convert to fraction form
    3,934.01/5,900.21 = 1,853.43/x
  3. Step 3: Cross multiply
    3,934.01x = 5,900.21 × 1,853.43
  4. Step 4: Simplify right side
    3,934.01x = 10,935,616.95
  5. Step 5: Solve for x
    x = 10,935,616.95/3,934.01
  6. Step 6: Final answer
    x = 2,779.77

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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.