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Finding the Fourth Proportional to 5,137.14, 7,076.96 and 4,887

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Solution

The fourth proportional to 5,137.14, 7,076.96 and 4,887 is: 6,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.14 : 7,076.96 = 4,887 : x
  2. Step 2: Convert to fraction form
    5,137.14/7,076.96 = 4,887/x
  3. Step 3: Cross multiply
    5,137.14x = 7,076.96 × 4,887
  4. Step 4: Simplify right side
    5,137.14x = 34,585,079.09
  5. Step 5: Solve for x
    x = 34,585,079.09/5,137.14
  6. Step 6: Final answer
    x = 6,732.36

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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.