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Finding the Fourth Proportional to 3,763.39, 5,193.50 and 2,084.76

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Solution

The fourth proportional to 3,763.39, 5,193.50 and 2,084.76 is: 2,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.39 : 5,193.50 = 2,084.76 : x
  2. Step 2: Convert to fraction form
    3,763.39/5,193.50 = 2,084.76/x
  3. Step 3: Cross multiply
    3,763.39x = 5,193.50 × 2,084.76
  4. Step 4: Simplify right side
    3,763.39x = 10,827,201.06
  5. Step 5: Solve for x
    x = 10,827,201.06/3,763.39
  6. Step 6: Final answer
    x = 2,876.98

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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.