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Finding the Fourth Proportional to 5,901.72, 8,853.50 and 2,005.22

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Solution

The fourth proportional to 5,901.72, 8,853.50 and 2,005.22 is: 3,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.72 : 8,853.50 = 2,005.22 : x
  2. Step 2: Convert to fraction form
    5,901.72/8,853.50 = 2,005.22/x
  3. Step 3: Cross multiply
    5,901.72x = 8,853.50 × 2,005.22
  4. Step 4: Simplify right side
    5,901.72x = 17,753,215.27
  5. Step 5: Solve for x
    x = 17,753,215.27/5,901.72
  6. Step 6: Final answer
    x = 3,008.14

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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.