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Finding the Fourth Proportional to 4,644.95, 6,410.14 and 2,549.07

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Solution

The fourth proportional to 4,644.95, 6,410.14 and 2,549.07 is: 3,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.95 : 6,410.14 = 2,549.07 : x
  2. Step 2: Convert to fraction form
    4,644.95/6,410.14 = 2,549.07/x
  3. Step 3: Cross multiply
    4,644.95x = 6,410.14 × 2,549.07
  4. Step 4: Simplify right side
    4,644.95x = 16,339,889.20
  5. Step 5: Solve for x
    x = 16,339,889.20/4,644.95
  6. Step 6: Final answer
    x = 3,517.78

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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.