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Finding the Fourth Proportional to 4,777.92, 6,595.75 and 3,187.21

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Solution

The fourth proportional to 4,777.92, 6,595.75 and 3,187.21 is: 4,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.92 : 6,595.75 = 3,187.21 : x
  2. Step 2: Convert to fraction form
    4,777.92/6,595.75 = 3,187.21/x
  3. Step 3: Cross multiply
    4,777.92x = 6,595.75 × 3,187.21
  4. Step 4: Simplify right side
    4,777.92x = 21,022,040.36
  5. Step 5: Solve for x
    x = 21,022,040.36/4,777.92
  6. Step 6: Final answer
    x = 4,399.83

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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.