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Finding the Fourth Proportional to 6,520.25, 9,777.91 and 2,359.22

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Solution

The fourth proportional to 6,520.25, 9,777.91 and 2,359.22 is: 3,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.25 : 9,777.91 = 2,359.22 : x
  2. Step 2: Convert to fraction form
    6,520.25/9,777.91 = 2,359.22/x
  3. Step 3: Cross multiply
    6,520.25x = 9,777.91 × 2,359.22
  4. Step 4: Simplify right side
    6,520.25x = 23,068,259.38
  5. Step 5: Solve for x
    x = 23,068,259.38/6,520.25
  6. Step 6: Final answer
    x = 3,537.94

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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.