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Finding the Fourth Proportional to 4,644.56, 6,949.56 and 2,697.68

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Solution

The fourth proportional to 4,644.56, 6,949.56 and 2,697.68 is: 4,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.56 : 6,949.56 = 2,697.68 : x
  2. Step 2: Convert to fraction form
    4,644.56/6,949.56 = 2,697.68/x
  3. Step 3: Cross multiply
    4,644.56x = 6,949.56 × 2,697.68
  4. Step 4: Simplify right side
    4,644.56x = 18,747,689.02
  5. Step 5: Solve for x
    x = 18,747,689.02/4,644.56
  6. Step 6: Final answer
    x = 4,036.48

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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.