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Finding the Fourth Proportional to 6,578.16, 9,078.48 and 3,594.44

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Solution

The fourth proportional to 6,578.16, 9,078.48 and 3,594.44 is: 4,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.16 : 9,078.48 = 3,594.44 : x
  2. Step 2: Convert to fraction form
    6,578.16/9,078.48 = 3,594.44/x
  3. Step 3: Cross multiply
    6,578.16x = 9,078.48 × 3,594.44
  4. Step 4: Simplify right side
    6,578.16x = 32,632,036.05
  5. Step 5: Solve for x
    x = 32,632,036.05/6,578.16
  6. Step 6: Final answer
    x = 4,960.66

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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.