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Finding the Fourth Proportional to 5,583.69, 7,706.48 and 4,174.44

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Solution

The fourth proportional to 5,583.69, 7,706.48 and 4,174.44 is: 5,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.69 : 7,706.48 = 4,174.44 : x
  2. Step 2: Convert to fraction form
    5,583.69/7,706.48 = 4,174.44/x
  3. Step 3: Cross multiply
    5,583.69x = 7,706.48 × 4,174.44
  4. Step 4: Simplify right side
    5,583.69x = 32,170,238.37
  5. Step 5: Solve for x
    x = 32,170,238.37/5,583.69
  6. Step 6: Final answer
    x = 5,761.47

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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.