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Finding the Fourth Proportional to 4,078.24, 5,628 and 2,215.24

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Solution

The fourth proportional to 4,078.24, 5,628 and 2,215.24 is: 3,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.24 : 5,628 = 2,215.24 : x
  2. Step 2: Convert to fraction form
    4,078.24/5,628 = 2,215.24/x
  3. Step 3: Cross multiply
    4,078.24x = 5,628 × 2,215.24
  4. Step 4: Simplify right side
    4,078.24x = 12,467,370.72
  5. Step 5: Solve for x
    x = 12,467,370.72/4,078.24
  6. Step 6: Final answer
    x = 3,057.05

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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.