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Finding the Fourth Proportional to 3,761.91, 5,191.63 and 2,083.50

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Solution

The fourth proportional to 3,761.91, 5,191.63 and 2,083.50 is: 2,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.91 : 5,191.63 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    3,761.91/5,191.63 = 2,083.50/x
  3. Step 3: Cross multiply
    3,761.91x = 5,191.63 × 2,083.50
  4. Step 4: Simplify right side
    3,761.91x = 10,816,761.11
  5. Step 5: Solve for x
    x = 10,816,761.11/3,761.91
  6. Step 6: Final answer
    x = 2,875.34

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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.