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Finding the Fourth Proportional to 3,902.68, 5,856 and 2,260.72

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Solution

The fourth proportional to 3,902.68, 5,856 and 2,260.72 is: 3,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.68 : 5,856 = 2,260.72 : x
  2. Step 2: Convert to fraction form
    3,902.68/5,856 = 2,260.72/x
  3. Step 3: Cross multiply
    3,902.68x = 5,856 × 2,260.72
  4. Step 4: Simplify right side
    3,902.68x = 13,238,776.32
  5. Step 5: Solve for x
    x = 13,238,776.32/3,902.68
  6. Step 6: Final answer
    x = 3,392.23

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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.