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Finding the Fourth Proportional to 3,956.48, 5,460.70 and 2,279

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Solution

The fourth proportional to 3,956.48, 5,460.70 and 2,279 is: 3,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.48 : 5,460.70 = 2,279 : x
  2. Step 2: Convert to fraction form
    3,956.48/5,460.70 = 2,279/x
  3. Step 3: Cross multiply
    3,956.48x = 5,460.70 × 2,279
  4. Step 4: Simplify right side
    3,956.48x = 12,444,935.30
  5. Step 5: Solve for x
    x = 12,444,935.30/3,956.48
  6. Step 6: Final answer
    x = 3,145.46

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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.