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Finding the Fourth Proportional to 4,672.46, 6,448.62 and 2,682.66

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Solution

The fourth proportional to 4,672.46, 6,448.62 and 2,682.66 is: 3,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.46 : 6,448.62 = 2,682.66 : x
  2. Step 2: Convert to fraction form
    4,672.46/6,448.62 = 2,682.66/x
  3. Step 3: Cross multiply
    4,672.46x = 6,448.62 × 2,682.66
  4. Step 4: Simplify right side
    4,672.46x = 17,299,454.93
  5. Step 5: Solve for x
    x = 17,299,454.93/4,672.46
  6. Step 6: Final answer
    x = 3,702.43

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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.