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Finding the Fourth Proportional to 6,578.16, 9,851.52 and 3,796.40

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Solution

The fourth proportional to 6,578.16, 9,851.52 and 3,796.40 is: 5,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.16 : 9,851.52 = 3,796.40 : x
  2. Step 2: Convert to fraction form
    6,578.16/9,851.52 = 3,796.40/x
  3. Step 3: Cross multiply
    6,578.16x = 9,851.52 × 3,796.40
  4. Step 4: Simplify right side
    6,578.16x = 37,400,310.53
  5. Step 5: Solve for x
    x = 37,400,310.53/6,578.16
  6. Step 6: Final answer
    x = 5,685.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.