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Finding the Fourth Proportional to 5,180.66, 7,149.42 and 2,942.40

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Solution

The fourth proportional to 5,180.66, 7,149.42 and 2,942.40 is: 4,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.66 : 7,149.42 = 2,942.40 : x
  2. Step 2: Convert to fraction form
    5,180.66/7,149.42 = 2,942.40/x
  3. Step 3: Cross multiply
    5,180.66x = 7,149.42 × 2,942.40
  4. Step 4: Simplify right side
    5,180.66x = 21,036,453.41
  5. Step 5: Solve for x
    x = 21,036,453.41/5,180.66
  6. Step 6: Final answer
    x = 4,060.58

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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.