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Finding the Fourth Proportional to 5,584.69, 7,707.86 and 4,175.44

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Solution

The fourth proportional to 5,584.69, 7,707.86 and 4,175.44 is: 5,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.69 : 7,707.86 = 4,175.44 : x
  2. Step 2: Convert to fraction form
    5,584.69/7,707.86 = 4,175.44/x
  3. Step 3: Cross multiply
    5,584.69x = 7,707.86 × 4,175.44
  4. Step 4: Simplify right side
    5,584.69x = 32,183,706.96
  5. Step 5: Solve for x
    x = 32,183,706.96/5,584.69
  6. Step 6: Final answer
    x = 5,762.85

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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.