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Finding the Fourth Proportional to 4,078.24, 5,633.04 and 4,016.80

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Solution

The fourth proportional to 4,078.24, 5,633.04 and 4,016.80 is: 5,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.24 : 5,633.04 = 4,016.80 : x
  2. Step 2: Convert to fraction form
    4,078.24/5,633.04 = 4,016.80/x
  3. Step 3: Cross multiply
    4,078.24x = 5,633.04 × 4,016.80
  4. Step 4: Simplify right side
    4,078.24x = 22,626,795.07
  5. Step 5: Solve for x
    x = 22,626,795.07/4,078.24
  6. Step 6: Final answer
    x = 5,548.18

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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.