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Finding the Fourth Proportional to 5,200.24, 7,801.44 and 3,011.08

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Solution

The fourth proportional to 5,200.24, 7,801.44 and 3,011.08 is: 4,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.24 : 7,801.44 = 3,011.08 : x
  2. Step 2: Convert to fraction form
    5,200.24/7,801.44 = 3,011.08/x
  3. Step 3: Cross multiply
    5,200.24x = 7,801.44 × 3,011.08
  4. Step 4: Simplify right side
    5,200.24x = 23,490,759.96
  5. Step 5: Solve for x
    x = 23,490,759.96/5,200.24
  6. Step 6: Final answer
    x = 4,517.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.