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Finding the Fourth Proportional to 5,678.81, 7,836.70 and 3,160.88

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Solution

The fourth proportional to 5,678.81, 7,836.70 and 3,160.88 is: 4,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.81 : 7,836.70 = 3,160.88 : x
  2. Step 2: Convert to fraction form
    5,678.81/7,836.70 = 3,160.88/x
  3. Step 3: Cross multiply
    5,678.81x = 7,836.70 × 3,160.88
  4. Step 4: Simplify right side
    5,678.81x = 24,770,813.31
  5. Step 5: Solve for x
    x = 24,770,813.31/5,678.81
  6. Step 6: Final answer
    x = 4,361.98

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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.