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Finding the Fourth Proportional to 5,837.80, 8,749.10 and 2,371

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Solution

The fourth proportional to 5,837.80, 8,749.10 and 2,371 is: 3,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.80 : 8,749.10 = 2,371 : x
  2. Step 2: Convert to fraction form
    5,837.80/8,749.10 = 2,371/x
  3. Step 3: Cross multiply
    5,837.80x = 8,749.10 × 2,371
  4. Step 4: Simplify right side
    5,837.80x = 20,744,116.10
  5. Step 5: Solve for x
    x = 20,744,116.10/5,837.80
  6. Step 6: Final answer
    x = 3,553.41

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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.