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Finding the Fourth Proportional to 4,944.48, 6,807.84 and 4,196.96

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Solution

The fourth proportional to 4,944.48, 6,807.84 and 4,196.96 is: 5,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.48 : 6,807.84 = 4,196.96 : x
  2. Step 2: Convert to fraction form
    4,944.48/6,807.84 = 4,196.96/x
  3. Step 3: Cross multiply
    4,944.48x = 6,807.84 × 4,196.96
  4. Step 4: Simplify right side
    4,944.48x = 28,572,232.17
  5. Step 5: Solve for x
    x = 28,572,232.17/4,944.48
  6. Step 6: Final answer
    x = 5,778.61

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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.