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Finding the Fourth Proportional to 6,366.35, 8,784.56 and 3,640.84

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Solution

The fourth proportional to 6,366.35, 8,784.56 and 3,640.84 is: 5,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.35 : 8,784.56 = 3,640.84 : x
  2. Step 2: Convert to fraction form
    6,366.35/8,784.56 = 3,640.84/x
  3. Step 3: Cross multiply
    6,366.35x = 8,784.56 × 3,640.84
  4. Step 4: Simplify right side
    6,366.35x = 31,983,164.57
  5. Step 5: Solve for x
    x = 31,983,164.57/6,366.35
  6. Step 6: Final answer
    x = 5,023.78

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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.