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Finding the Fourth Proportional to 5,105.96, 7,661.91 and 1,988.12

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Solution

The fourth proportional to 5,105.96, 7,661.91 and 1,988.12 is: 2,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.96 : 7,661.91 = 1,988.12 : x
  2. Step 2: Convert to fraction form
    5,105.96/7,661.91 = 1,988.12/x
  3. Step 3: Cross multiply
    5,105.96x = 7,661.91 × 1,988.12
  4. Step 4: Simplify right side
    5,105.96x = 15,232,796.51
  5. Step 5: Solve for x
    x = 15,232,796.51/5,105.96
  6. Step 6: Final answer
    x = 2,983.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.