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Finding the Fourth Proportional to 5,578.26, 7,697.12 and 3,219.94

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Solution

The fourth proportional to 5,578.26, 7,697.12 and 3,219.94 is: 4,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.26 : 7,697.12 = 3,219.94 : x
  2. Step 2: Convert to fraction form
    5,578.26/7,697.12 = 3,219.94/x
  3. Step 3: Cross multiply
    5,578.26x = 7,697.12 × 3,219.94
  4. Step 4: Simplify right side
    5,578.26x = 24,784,264.57
  5. Step 5: Solve for x
    x = 24,784,264.57/5,578.26
  6. Step 6: Final answer
    x = 4,443.01

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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.