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Finding the Fourth Proportional to 4,921.92, 6,777.72 and 4,397.76

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Solution

The fourth proportional to 4,921.92, 6,777.72 and 4,397.76 is: 6,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.92 : 6,777.72 = 4,397.76 : x
  2. Step 2: Convert to fraction form
    4,921.92/6,777.72 = 4,397.76/x
  3. Step 3: Cross multiply
    4,921.92x = 6,777.72 × 4,397.76
  4. Step 4: Simplify right side
    4,921.92x = 29,806,785.91
  5. Step 5: Solve for x
    x = 29,806,785.91/4,921.92
  6. Step 6: Final answer
    x = 6,055.93

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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.