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Finding the Fourth Proportional to 5,548.66, 7,657.22 and 3,311.82

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Solution

The fourth proportional to 5,548.66, 7,657.22 and 3,311.82 is: 4,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.66 : 7,657.22 = 3,311.82 : x
  2. Step 2: Convert to fraction form
    5,548.66/7,657.22 = 3,311.82/x
  3. Step 3: Cross multiply
    5,548.66x = 7,657.22 × 3,311.82
  4. Step 4: Simplify right side
    5,548.66x = 25,359,342.62
  5. Step 5: Solve for x
    x = 25,359,342.62/5,548.66
  6. Step 6: Final answer
    x = 4,570.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.