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Finding the Fourth Proportional to 5,149.86, 7,105.12 and 2,911.51

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Solution

The fourth proportional to 5,149.86, 7,105.12 and 2,911.51 is: 4,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.86 : 7,105.12 = 2,911.51 : x
  2. Step 2: Convert to fraction form
    5,149.86/7,105.12 = 2,911.51/x
  3. Step 3: Cross multiply
    5,149.86x = 7,105.12 × 2,911.51
  4. Step 4: Simplify right side
    5,149.86x = 20,686,627.93
  5. Step 5: Solve for x
    x = 20,686,627.93/5,149.86
  6. Step 6: Final answer
    x = 4,016.93

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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.