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Finding the Fourth Proportional to 4,149.66, 5,726.98 and 2,556.22

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Solution

The fourth proportional to 4,149.66, 5,726.98 and 2,556.22 is: 3,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.66 : 5,726.98 = 2,556.22 : x
  2. Step 2: Convert to fraction form
    4,149.66/5,726.98 = 2,556.22/x
  3. Step 3: Cross multiply
    4,149.66x = 5,726.98 × 2,556.22
  4. Step 4: Simplify right side
    4,149.66x = 14,639,420.82
  5. Step 5: Solve for x
    x = 14,639,420.82/4,149.66
  6. Step 6: Final answer
    x = 3,527.86

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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.