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Finding the Fourth Proportional to 3,608.42, 4,978.94 and 2,036.22

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Solution

The fourth proportional to 3,608.42, 4,978.94 and 2,036.22 is: 2,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.42 : 4,978.94 = 2,036.22 : x
  2. Step 2: Convert to fraction form
    3,608.42/4,978.94 = 2,036.22/x
  3. Step 3: Cross multiply
    3,608.42x = 4,978.94 × 2,036.22
  4. Step 4: Simplify right side
    3,608.42x = 10,138,217.21
  5. Step 5: Solve for x
    x = 10,138,217.21/3,608.42
  6. Step 6: Final answer
    x = 2,809.60

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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.