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Finding the Fourth Proportional to 5,149.83, 7,106.74 and 2,791.96

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Solution

The fourth proportional to 5,149.83, 7,106.74 and 2,791.96 is: 3,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.83 : 7,106.74 = 2,791.96 : x
  2. Step 2: Convert to fraction form
    5,149.83/7,106.74 = 2,791.96/x
  3. Step 3: Cross multiply
    5,149.83x = 7,106.74 × 2,791.96
  4. Step 4: Simplify right side
    5,149.83x = 19,841,733.81
  5. Step 5: Solve for x
    x = 19,841,733.81/5,149.83
  6. Step 6: Final answer
    x = 3,852.89

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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.