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Finding the Fourth Proportional to 4,181.35, 5,770.25 and 2,502.82

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Solution

The fourth proportional to 4,181.35, 5,770.25 and 2,502.82 is: 3,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.35 : 5,770.25 = 2,502.82 : x
  2. Step 2: Convert to fraction form
    4,181.35/5,770.25 = 2,502.82/x
  3. Step 3: Cross multiply
    4,181.35x = 5,770.25 × 2,502.82
  4. Step 4: Simplify right side
    4,181.35x = 14,441,897.11
  5. Step 5: Solve for x
    x = 14,441,897.11/4,181.35
  6. Step 6: Final answer
    x = 3,453.88

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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.