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Finding the Fourth Proportional to 4,078.42, 5,628.22 and 2,215.42

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Solution

The fourth proportional to 4,078.42, 5,628.22 and 2,215.42 is: 3,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.42 : 5,628.22 = 2,215.42 : x
  2. Step 2: Convert to fraction form
    4,078.42/5,628.22 = 2,215.42/x
  3. Step 3: Cross multiply
    4,078.42x = 5,628.22 × 2,215.42
  4. Step 4: Simplify right side
    4,078.42x = 12,468,851.54
  5. Step 5: Solve for x
    x = 12,468,851.54/4,078.42
  6. Step 6: Final answer
    x = 3,057.28

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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.