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Finding the Fourth Proportional to 6,149.97, 8,484.21 and 4,027.77

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Solution

The fourth proportional to 6,149.97, 8,484.21 and 4,027.77 is: 5,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.97 : 8,484.21 = 4,027.77 : x
  2. Step 2: Convert to fraction form
    6,149.97/8,484.21 = 4,027.77/x
  3. Step 3: Cross multiply
    6,149.97x = 8,484.21 × 4,027.77
  4. Step 4: Simplify right side
    6,149.97x = 34,172,446.51
  5. Step 5: Solve for x
    x = 34,172,446.51/6,149.97
  6. Step 6: Final answer
    x = 5,556.52

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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.