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Finding the Fourth Proportional to 5,138.02, 7,661.96 and 5,091.27

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Solution

The fourth proportional to 5,138.02, 7,661.96 and 5,091.27 is: 7,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.02 : 7,661.96 = 5,091.27 : x
  2. Step 2: Convert to fraction form
    5,138.02/7,661.96 = 5,091.27/x
  3. Step 3: Cross multiply
    5,138.02x = 7,661.96 × 5,091.27
  4. Step 4: Simplify right side
    5,138.02x = 39,009,107.09
  5. Step 5: Solve for x
    x = 39,009,107.09/5,138.02
  6. Step 6: Final answer
    x = 7,592.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.