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Finding the Fourth Proportional to 3,906.48, 5,853.96 and 1,956

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Solution

The fourth proportional to 3,906.48, 5,853.96 and 1,956 is: 2,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.48 : 5,853.96 = 1,956 : x
  2. Step 2: Convert to fraction form
    3,906.48/5,853.96 = 1,956/x
  3. Step 3: Cross multiply
    3,906.48x = 5,853.96 × 1,956
  4. Step 4: Simplify right side
    3,906.48x = 11,450,345.76
  5. Step 5: Solve for x
    x = 11,450,345.76/3,906.48
  6. Step 6: Final answer
    x = 2,931.12

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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.