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Finding the Fourth Proportional to 5,147.96, 7,107.14 and 3,578.18

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Solution

The fourth proportional to 5,147.96, 7,107.14 and 3,578.18 is: 4,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.96 : 7,107.14 = 3,578.18 : x
  2. Step 2: Convert to fraction form
    5,147.96/7,107.14 = 3,578.18/x
  3. Step 3: Cross multiply
    5,147.96x = 7,107.14 × 3,578.18
  4. Step 4: Simplify right side
    5,147.96x = 25,430,599.61
  5. Step 5: Solve for x
    x = 25,430,599.61/5,147.96
  6. Step 6: Final answer
    x = 4,939.94

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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.