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Finding the Fourth Proportional to 4,832, 6,669.40 and 2,944.86

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Solution

The fourth proportional to 4,832, 6,669.40 and 2,944.86 is: 4,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832 : 6,669.40 = 2,944.86 : x
  2. Step 2: Convert to fraction form
    4,832/6,669.40 = 2,944.86/x
  3. Step 3: Cross multiply
    4,832x = 6,669.40 × 2,944.86
  4. Step 4: Simplify right side
    4,832x = 19,640,449.28
  5. Step 5: Solve for x
    x = 19,640,449.28/4,832
  6. Step 6: Final answer
    x = 4,064.66

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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.