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Finding the Fourth Proportional to 3,770.42, 5,203.14 and 2,091.83

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Solution

The fourth proportional to 3,770.42, 5,203.14 and 2,091.83 is: 2,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.42 : 5,203.14 = 2,091.83 : x
  2. Step 2: Convert to fraction form
    3,770.42/5,203.14 = 2,091.83/x
  3. Step 3: Cross multiply
    3,770.42x = 5,203.14 × 2,091.83
  4. Step 4: Simplify right side
    3,770.42x = 10,884,058.33
  5. Step 5: Solve for x
    x = 10,884,058.33/3,770.42
  6. Step 6: Final answer
    x = 2,886.70

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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.