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Finding the Fourth Proportional to 4,682.49, 6,461.66 and 2,691.69

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Solution

The fourth proportional to 4,682.49, 6,461.66 and 2,691.69 is: 3,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.49 : 6,461.66 = 2,691.69 : x
  2. Step 2: Convert to fraction form
    4,682.49/6,461.66 = 2,691.69/x
  3. Step 3: Cross multiply
    4,682.49x = 6,461.66 × 2,691.69
  4. Step 4: Simplify right side
    4,682.49x = 17,392,772.15
  5. Step 5: Solve for x
    x = 17,392,772.15/4,682.49
  6. Step 6: Final answer
    x = 3,714.43

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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.