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Finding the Fourth Proportional to 4,078.80, 5,628.80 and 2,215.84

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Solution

The fourth proportional to 4,078.80, 5,628.80 and 2,215.84 is: 3,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.80 : 5,628.80 = 2,215.84 : x
  2. Step 2: Convert to fraction form
    4,078.80/5,628.80 = 2,215.84/x
  3. Step 3: Cross multiply
    4,078.80x = 5,628.80 × 2,215.84
  4. Step 4: Simplify right side
    4,078.80x = 12,472,520.19
  5. Step 5: Solve for x
    x = 12,472,520.19/4,078.80
  6. Step 6: Final answer
    x = 3,057.89

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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.