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Finding the Fourth Proportional to 6,578.28, 9,077.87 and 3,594.12

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Solution

The fourth proportional to 6,578.28, 9,077.87 and 3,594.12 is: 4,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.28 : 9,077.87 = 3,594.12 : x
  2. Step 2: Convert to fraction form
    6,578.28/9,077.87 = 3,594.12/x
  3. Step 3: Cross multiply
    6,578.28x = 9,077.87 × 3,594.12
  4. Step 4: Simplify right side
    6,578.28x = 32,626,936.15
  5. Step 5: Solve for x
    x = 32,626,936.15/6,578.28
  6. Step 6: Final answer
    x = 4,959.80

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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.