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Finding the Fourth Proportional to 3,677.41, 5,074.35 and 2,083.80

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Solution

The fourth proportional to 3,677.41, 5,074.35 and 2,083.80 is: 2,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.41 : 5,074.35 = 2,083.80 : x
  2. Step 2: Convert to fraction form
    3,677.41/5,074.35 = 2,083.80/x
  3. Step 3: Cross multiply
    3,677.41x = 5,074.35 × 2,083.80
  4. Step 4: Simplify right side
    3,677.41x = 10,573,940.66
  5. Step 5: Solve for x
    x = 10,573,940.66/3,677.41
  6. Step 6: Final answer
    x = 2,875.38

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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.