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Finding the Fourth Proportional to 6,542.46, 9,810.94 and 2,644.13

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Solution

The fourth proportional to 6,542.46, 9,810.94 and 2,644.13 is: 3,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.46 : 9,810.94 = 2,644.13 : x
  2. Step 2: Convert to fraction form
    6,542.46/9,810.94 = 2,644.13/x
  3. Step 3: Cross multiply
    6,542.46x = 9,810.94 × 2,644.13
  4. Step 4: Simplify right side
    6,542.46x = 25,941,400.78
  5. Step 5: Solve for x
    x = 25,941,400.78/6,542.46
  6. Step 6: Final answer
    x = 3,965.08

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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.