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Finding the Fourth Proportional to 6,191.25, 8,541.07 and 3,952

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Solution

The fourth proportional to 6,191.25, 8,541.07 and 3,952 is: 5,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.25 : 8,541.07 = 3,952 : x
  2. Step 2: Convert to fraction form
    6,191.25/8,541.07 = 3,952/x
  3. Step 3: Cross multiply
    6,191.25x = 8,541.07 × 3,952
  4. Step 4: Simplify right side
    6,191.25x = 33,754,308.64
  5. Step 5: Solve for x
    x = 33,754,308.64/6,191.25
  6. Step 6: Final answer
    x = 5,451.94

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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.