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Finding the Fourth Proportional to 4,289.68, 5,920.52 and 2,522.80

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Solution

The fourth proportional to 4,289.68, 5,920.52 and 2,522.80 is: 3,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.68 : 5,920.52 = 2,522.80 : x
  2. Step 2: Convert to fraction form
    4,289.68/5,920.52 = 2,522.80/x
  3. Step 3: Cross multiply
    4,289.68x = 5,920.52 × 2,522.80
  4. Step 4: Simplify right side
    4,289.68x = 14,936,287.86
  5. Step 5: Solve for x
    x = 14,936,287.86/4,289.68
  6. Step 6: Final answer
    x = 3,481.91

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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.