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Finding the Fourth Proportional to 3,015.46, 4,523.21 and 935.42

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Solution

The fourth proportional to 3,015.46, 4,523.21 and 935.42 is: 1,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.46 : 4,523.21 = 935.42 : x
  2. Step 2: Convert to fraction form
    3,015.46/4,523.21 = 935.42/x
  3. Step 3: Cross multiply
    3,015.46x = 4,523.21 × 935.42
  4. Step 4: Simplify right side
    3,015.46x = 4,231,096.42
  5. Step 5: Solve for x
    x = 4,231,096.42/3,015.46
  6. Step 6: Final answer
    x = 1,403.14

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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.