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Finding the Fourth Proportional to 5,566.44, 7,675.38 and 4,166.76

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Solution

The fourth proportional to 5,566.44, 7,675.38 and 4,166.76 is: 5,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.44 : 7,675.38 = 4,166.76 : x
  2. Step 2: Convert to fraction form
    5,566.44/7,675.38 = 4,166.76/x
  3. Step 3: Cross multiply
    5,566.44x = 7,675.38 × 4,166.76
  4. Step 4: Simplify right side
    5,566.44x = 31,981,466.37
  5. Step 5: Solve for x
    x = 31,981,466.37/5,566.44
  6. Step 6: Final answer
    x = 5,745.41

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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.