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Finding the Fourth Proportional to 3,836.42, 5,293.52 and 2,775.84

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Solution

The fourth proportional to 3,836.42, 5,293.52 and 2,775.84 is: 3,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.42 : 5,293.52 = 2,775.84 : x
  2. Step 2: Convert to fraction form
    3,836.42/5,293.52 = 2,775.84/x
  3. Step 3: Cross multiply
    3,836.42x = 5,293.52 × 2,775.84
  4. Step 4: Simplify right side
    3,836.42x = 14,693,964.56
  5. Step 5: Solve for x
    x = 14,693,964.56/3,836.42
  6. Step 6: Final answer
    x = 3,830.12

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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.