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Finding the Fourth Proportional to 3,935.54, 5,431.07 and 2,257.01

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Solution

The fourth proportional to 3,935.54, 5,431.07 and 2,257.01 is: 3,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.54 : 5,431.07 = 2,257.01 : x
  2. Step 2: Convert to fraction form
    3,935.54/5,431.07 = 2,257.01/x
  3. Step 3: Cross multiply
    3,935.54x = 5,431.07 × 2,257.01
  4. Step 4: Simplify right side
    3,935.54x = 12,257,968.02
  5. Step 5: Solve for x
    x = 12,257,968.02/3,935.54
  6. Step 6: Final answer
    x = 3,114.69

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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.