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Finding the Fourth Proportional to 4,292.64, 5,922.96 and 2,722.80

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Solution

The fourth proportional to 4,292.64, 5,922.96 and 2,722.80 is: 3,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.64 : 5,922.96 = 2,722.80 : x
  2. Step 2: Convert to fraction form
    4,292.64/5,922.96 = 2,722.80/x
  3. Step 3: Cross multiply
    4,292.64x = 5,922.96 × 2,722.80
  4. Step 4: Simplify right side
    4,292.64x = 16,127,035.49
  5. Step 5: Solve for x
    x = 16,127,035.49/4,292.64
  6. Step 6: Final answer
    x = 3,756.90

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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.