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Finding the Fourth Proportional to 5,678.35, 7,836.24 and 3,160.55

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Solution

The fourth proportional to 5,678.35, 7,836.24 and 3,160.55 is: 4,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.35 : 7,836.24 = 3,160.55 : x
  2. Step 2: Convert to fraction form
    5,678.35/7,836.24 = 3,160.55/x
  3. Step 3: Cross multiply
    5,678.35x = 7,836.24 × 3,160.55
  4. Step 4: Simplify right side
    5,678.35x = 24,766,828.33
  5. Step 5: Solve for x
    x = 24,766,828.33/5,678.35
  6. Step 6: Final answer
    x = 4,361.62

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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.