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Finding the Fourth Proportional to 5,220.28, 7,830.27 and 1,933.30

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Solution

The fourth proportional to 5,220.28, 7,830.27 and 1,933.30 is: 2,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.28 : 7,830.27 = 1,933.30 : x
  2. Step 2: Convert to fraction form
    5,220.28/7,830.27 = 1,933.30/x
  3. Step 3: Cross multiply
    5,220.28x = 7,830.27 × 1,933.30
  4. Step 4: Simplify right side
    5,220.28x = 15,138,270.78
  5. Step 5: Solve for x
    x = 15,138,270.78/5,220.28
  6. Step 6: Final answer
    x = 2,899.90

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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.