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Finding the Fourth Proportional to 3,923.93, 5,414.89 and 2,155.36

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Solution

The fourth proportional to 3,923.93, 5,414.89 and 2,155.36 is: 2,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.93 : 5,414.89 = 2,155.36 : x
  2. Step 2: Convert to fraction form
    3,923.93/5,414.89 = 2,155.36/x
  3. Step 3: Cross multiply
    3,923.93x = 5,414.89 × 2,155.36
  4. Step 4: Simplify right side
    3,923.93x = 11,671,037.31
  5. Step 5: Solve for x
    x = 11,671,037.31/3,923.93
  6. Step 6: Final answer
    x = 2,974.32

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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.