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Finding the Fourth Proportional to 6,546.99, 9,810.22 and 2,596.11

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Solution

The fourth proportional to 6,546.99, 9,810.22 and 2,596.11 is: 3,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.99 : 9,810.22 = 2,596.11 : x
  2. Step 2: Convert to fraction form
    6,546.99/9,810.22 = 2,596.11/x
  3. Step 3: Cross multiply
    6,546.99x = 9,810.22 × 2,596.11
  4. Step 4: Simplify right side
    6,546.99x = 25,468,410.24
  5. Step 5: Solve for x
    x = 25,468,410.24/6,546.99
  6. Step 6: Final answer
    x = 3,890.09

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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.