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Finding the Fourth Proportional to 2,856.64, 3,944.01 and 2,557.36

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Solution

The fourth proportional to 2,856.64, 3,944.01 and 2,557.36 is: 3,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.64 : 3,944.01 = 2,557.36 : x
  2. Step 2: Convert to fraction form
    2,856.64/3,944.01 = 2,557.36/x
  3. Step 3: Cross multiply
    2,856.64x = 3,944.01 × 2,557.36
  4. Step 4: Simplify right side
    2,856.64x = 10,086,253.41
  5. Step 5: Solve for x
    x = 10,086,253.41/2,856.64
  6. Step 6: Final answer
    x = 3,530.81

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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.