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Finding the Fourth Proportional to 4,103.96, 6,149.62 and 2,786

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Solution

The fourth proportional to 4,103.96, 6,149.62 and 2,786 is: 4,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.96 : 6,149.62 = 2,786 : x
  2. Step 2: Convert to fraction form
    4,103.96/6,149.62 = 2,786/x
  3. Step 3: Cross multiply
    4,103.96x = 6,149.62 × 2,786
  4. Step 4: Simplify right side
    4,103.96x = 17,132,841.32
  5. Step 5: Solve for x
    x = 17,132,841.32/4,103.96
  6. Step 6: Final answer
    x = 4,174.71

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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.