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Finding the Fourth Proportional to 4,777.28, 6,568.80 and 4,077.44

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Solution

The fourth proportional to 4,777.28, 6,568.80 and 4,077.44 is: 5,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.28 : 6,568.80 = 4,077.44 : x
  2. Step 2: Convert to fraction form
    4,777.28/6,568.80 = 4,077.44/x
  3. Step 3: Cross multiply
    4,777.28x = 6,568.80 × 4,077.44
  4. Step 4: Simplify right side
    4,777.28x = 26,783,887.87
  5. Step 5: Solve for x
    x = 26,783,887.87/4,777.28
  6. Step 6: Final answer
    x = 5,606.51

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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.