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Finding the Fourth Proportional to 3,644.02, 5,029.32 and 2,318.32

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Solution

The fourth proportional to 3,644.02, 5,029.32 and 2,318.32 is: 3,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.02 : 5,029.32 = 2,318.32 : x
  2. Step 2: Convert to fraction form
    3,644.02/5,029.32 = 2,318.32/x
  3. Step 3: Cross multiply
    3,644.02x = 5,029.32 × 2,318.32
  4. Step 4: Simplify right side
    3,644.02x = 11,659,573.14
  5. Step 5: Solve for x
    x = 11,659,573.14/3,644.02
  6. Step 6: Final answer
    x = 3,199.65

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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.