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Finding the Fourth Proportional to 4,944.66, 7,407.68 and 3,843.68

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Solution

The fourth proportional to 4,944.66, 7,407.68 and 3,843.68 is: 5,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.66 : 7,407.68 = 3,843.68 : x
  2. Step 2: Convert to fraction form
    4,944.66/7,407.68 = 3,843.68/x
  3. Step 3: Cross multiply
    4,944.66x = 7,407.68 × 3,843.68
  4. Step 4: Simplify right side
    4,944.66x = 28,472,695.21
  5. Step 5: Solve for x
    x = 28,472,695.21/4,944.66
  6. Step 6: Final answer
    x = 5,758.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.