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Finding the Fourth Proportional to 3,703.69, 5,111.05 and 2,131.78

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Solution

The fourth proportional to 3,703.69, 5,111.05 and 2,131.78 is: 2,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.69 : 5,111.05 = 2,131.78 : x
  2. Step 2: Convert to fraction form
    3,703.69/5,111.05 = 2,131.78/x
  3. Step 3: Cross multiply
    3,703.69x = 5,111.05 × 2,131.78
  4. Step 4: Simplify right side
    3,703.69x = 10,895,634.17
  5. Step 5: Solve for x
    x = 10,895,634.17/3,703.69
  6. Step 6: Final answer
    x = 2,941.83

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