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Finding the Fourth Proportional to 4,288.80, 5,794.20 and 4,288.80

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Solution

The fourth proportional to 4,288.80, 5,794.20 and 4,288.80 is: 5,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.80 : 5,794.20 = 4,288.80 : x
  2. Step 2: Convert to fraction form
    4,288.80/5,794.20 = 4,288.80/x
  3. Step 3: Cross multiply
    4,288.80x = 5,794.20 × 4,288.80
  4. Step 4: Simplify right side
    4,288.80x = 24,850,164.96
  5. Step 5: Solve for x
    x = 24,850,164.96/4,288.80
  6. Step 6: Final answer
    x = 5,794.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.