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Finding the Fourth Proportional to 4,944.96, 6,824.64 and 2,956.32

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Solution

The fourth proportional to 4,944.96, 6,824.64 and 2,956.32 is: 4,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.96 : 6,824.64 = 2,956.32 : x
  2. Step 2: Convert to fraction form
    4,944.96/6,824.64 = 2,956.32/x
  3. Step 3: Cross multiply
    4,944.96x = 6,824.64 × 2,956.32
  4. Step 4: Simplify right side
    4,944.96x = 20,175,819.72
  5. Step 5: Solve for x
    x = 20,175,819.72/4,944.96
  6. Step 6: Final answer
    x = 4,080.08

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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.