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Finding the Fourth Proportional to 6,578.42, 9,078.27 and 3,594.20

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Solution

The fourth proportional to 6,578.42, 9,078.27 and 3,594.20 is: 4,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.42 : 9,078.27 = 3,594.20 : x
  2. Step 2: Convert to fraction form
    6,578.42/9,078.27 = 3,594.20/x
  3. Step 3: Cross multiply
    6,578.42x = 9,078.27 × 3,594.20
  4. Step 4: Simplify right side
    6,578.42x = 32,629,118.03
  5. Step 5: Solve for x
    x = 32,629,118.03/6,578.42
  6. Step 6: Final answer
    x = 4,960.02

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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.