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Finding the Fourth Proportional to 4,644.94, 6,409.98 and 2,549.08

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Solution

The fourth proportional to 4,644.94, 6,409.98 and 2,549.08 is: 3,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.94 : 6,409.98 = 2,549.08 : x
  2. Step 2: Convert to fraction form
    4,644.94/6,409.98 = 2,549.08/x
  3. Step 3: Cross multiply
    4,644.94x = 6,409.98 × 2,549.08
  4. Step 4: Simplify right side
    4,644.94x = 16,339,551.82
  5. Step 5: Solve for x
    x = 16,339,551.82/4,644.94
  6. Step 6: Final answer
    x = 3,517.71

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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.