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Finding the Fourth Proportional to 6,424, 8,865.18 and 3,629.56

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Solution

The fourth proportional to 6,424, 8,865.18 and 3,629.56 is: 5,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 8,865.18 = 3,629.56 : x
  2. Step 2: Convert to fraction form
    6,424/8,865.18 = 3,629.56/x
  3. Step 3: Cross multiply
    6,424x = 8,865.18 × 3,629.56
  4. Step 4: Simplify right side
    6,424x = 32,176,702.72
  5. Step 5: Solve for x
    x = 32,176,702.72/6,424
  6. Step 6: Final answer
    x = 5,008.83

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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.