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Finding the Fourth Proportional to 5,884.78, 8,113.62 and 4,310.14

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Solution

The fourth proportional to 5,884.78, 8,113.62 and 4,310.14 is: 5,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.78 : 8,113.62 = 4,310.14 : x
  2. Step 2: Convert to fraction form
    5,884.78/8,113.62 = 4,310.14/x
  3. Step 3: Cross multiply
    5,884.78x = 8,113.62 × 4,310.14
  4. Step 4: Simplify right side
    5,884.78x = 34,970,838.11
  5. Step 5: Solve for x
    x = 34,970,838.11/5,884.78
  6. Step 6: Final answer
    x = 5,942.59

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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.