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Finding the Fourth Proportional to 3,935.46, 5,430.24 and 2,257.44

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Solution

The fourth proportional to 3,935.46, 5,430.24 and 2,257.44 is: 3,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.46 : 5,430.24 = 2,257.44 : x
  2. Step 2: Convert to fraction form
    3,935.46/5,430.24 = 2,257.44/x
  3. Step 3: Cross multiply
    3,935.46x = 5,430.24 × 2,257.44
  4. Step 4: Simplify right side
    3,935.46x = 12,258,440.99
  5. Step 5: Solve for x
    x = 12,258,440.99/3,935.46
  6. Step 6: Final answer
    x = 3,114.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.