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Finding the Fourth Proportional to 4,644.30, 6,406.53 and 2,754.06

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Solution

The fourth proportional to 4,644.30, 6,406.53 and 2,754.06 is: 3,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.30 : 6,406.53 = 2,754.06 : x
  2. Step 2: Convert to fraction form
    4,644.30/6,406.53 = 2,754.06/x
  3. Step 3: Cross multiply
    4,644.30x = 6,406.53 × 2,754.06
  4. Step 4: Simplify right side
    4,644.30x = 17,643,968.01
  5. Step 5: Solve for x
    x = 17,643,968.01/4,644.30
  6. Step 6: Final answer
    x = 3,799.06

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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.