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Finding the Fourth Proportional to 6,476.34, 8,936.83 and 3,644.18

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Solution

The fourth proportional to 6,476.34, 8,936.83 and 3,644.18 is: 5,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.34 : 8,936.83 = 3,644.18 : x
  2. Step 2: Convert to fraction form
    6,476.34/8,936.83 = 3,644.18/x
  3. Step 3: Cross multiply
    6,476.34x = 8,936.83 × 3,644.18
  4. Step 4: Simplify right side
    6,476.34x = 32,567,417.15
  5. Step 5: Solve for x
    x = 32,567,417.15/6,476.34
  6. Step 6: Final answer
    x = 5,028.68

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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.