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Finding the Fourth Proportional to 3,721, 5,135.10 and 2,065

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Solution

The fourth proportional to 3,721, 5,135.10 and 2,065 is: 2,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721 : 5,135.10 = 2,065 : x
  2. Step 2: Convert to fraction form
    3,721/5,135.10 = 2,065/x
  3. Step 3: Cross multiply
    3,721x = 5,135.10 × 2,065
  4. Step 4: Simplify right side
    3,721x = 10,603,981.50
  5. Step 5: Solve for x
    x = 10,603,981.50/3,721
  6. Step 6: Final answer
    x = 2,849.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.