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Finding the Fourth Proportional to 4,671.56, 6,446.46 and 2,680.71

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Solution

The fourth proportional to 4,671.56, 6,446.46 and 2,680.71 is: 3,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.56 : 6,446.46 = 2,680.71 : x
  2. Step 2: Convert to fraction form
    4,671.56/6,446.46 = 2,680.71/x
  3. Step 3: Cross multiply
    4,671.56x = 6,446.46 × 2,680.71
  4. Step 4: Simplify right side
    4,671.56x = 17,281,103.91
  5. Step 5: Solve for x
    x = 17,281,103.91/4,671.56
  6. Step 6: Final answer
    x = 3,699.22

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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.