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Finding the Fourth Proportional to 3,534.38, 5,309.84 and 3,334.90

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Solution

The fourth proportional to 3,534.38, 5,309.84 and 3,334.90 is: 5,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.38 : 5,309.84 = 3,334.90 : x
  2. Step 2: Convert to fraction form
    3,534.38/5,309.84 = 3,334.90/x
  3. Step 3: Cross multiply
    3,534.38x = 5,309.84 × 3,334.90
  4. Step 4: Simplify right side
    3,534.38x = 17,707,785.42
  5. Step 5: Solve for x
    x = 17,707,785.42/3,534.38
  6. Step 6: Final answer
    x = 5,010.15

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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.