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Finding the Fourth Proportional to 3,935.52, 5,431.04 and 2,257.03

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Solution

The fourth proportional to 3,935.52, 5,431.04 and 2,257.03 is: 3,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.52 : 5,431.04 = 2,257.03 : x
  2. Step 2: Convert to fraction form
    3,935.52/5,431.04 = 2,257.03/x
  3. Step 3: Cross multiply
    3,935.52x = 5,431.04 × 2,257.03
  4. Step 4: Simplify right side
    3,935.52x = 12,257,981.77
  5. Step 5: Solve for x
    x = 12,257,981.77/3,935.52
  6. Step 6: Final answer
    x = 3,114.70

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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.