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Finding the Fourth Proportional to 6,820.20, 10,230.30 and 3,534.30

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Solution

The fourth proportional to 6,820.20, 10,230.30 and 3,534.30 is: 5,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.20 : 10,230.30 = 3,534.30 : x
  2. Step 2: Convert to fraction form
    6,820.20/10,230.30 = 3,534.30/x
  3. Step 3: Cross multiply
    6,820.20x = 10,230.30 × 3,534.30
  4. Step 4: Simplify right side
    6,820.20x = 36,156,949.29
  5. Step 5: Solve for x
    x = 36,156,949.29/6,820.20
  6. Step 6: Final answer
    x = 5,301.45

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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.