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Finding the Fourth Proportional to 5,578.22, 8,368.71 and 1,682.62

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Solution

The fourth proportional to 5,578.22, 8,368.71 and 1,682.62 is: 2,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.22 : 8,368.71 = 1,682.62 : x
  2. Step 2: Convert to fraction form
    5,578.22/8,368.71 = 1,682.62/x
  3. Step 3: Cross multiply
    5,578.22x = 8,368.71 × 1,682.62
  4. Step 4: Simplify right side
    5,578.22x = 14,081,308.56
  5. Step 5: Solve for x
    x = 14,081,308.56/5,578.22
  6. Step 6: Final answer
    x = 2,524.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.