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Finding the Fourth Proportional to 5,564.22, 7,683.82 and 3,578.22

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Solution

The fourth proportional to 5,564.22, 7,683.82 and 3,578.22 is: 4,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.22 : 7,683.82 = 3,578.22 : x
  2. Step 2: Convert to fraction form
    5,564.22/7,683.82 = 3,578.22/x
  3. Step 3: Cross multiply
    5,564.22x = 7,683.82 × 3,578.22
  4. Step 4: Simplify right side
    5,564.22x = 27,494,398.40
  5. Step 5: Solve for x
    x = 27,494,398.40/5,564.22
  6. Step 6: Final answer
    x = 4,941.29

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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.