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Finding the Fourth Proportional to 3,427.80, 4,738.14 and 3,155.64

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Solution

The fourth proportional to 3,427.80, 4,738.14 and 3,155.64 is: 4,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.80 : 4,738.14 = 3,155.64 : x
  2. Step 2: Convert to fraction form
    3,427.80/4,738.14 = 3,155.64/x
  3. Step 3: Cross multiply
    3,427.80x = 4,738.14 × 3,155.64
  4. Step 4: Simplify right side
    3,427.80x = 14,951,864.11
  5. Step 5: Solve for x
    x = 14,951,864.11/3,427.80
  6. Step 6: Final answer
    x = 4,361.94

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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.