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Finding the Fourth Proportional to 4,660.22, 6,431.10 and 2,670.68

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Solution

The fourth proportional to 4,660.22, 6,431.10 and 2,670.68 is: 3,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.22 : 6,431.10 = 2,670.68 : x
  2. Step 2: Convert to fraction form
    4,660.22/6,431.10 = 2,670.68/x
  3. Step 3: Cross multiply
    4,660.22x = 6,431.10 × 2,670.68
  4. Step 4: Simplify right side
    4,660.22x = 17,175,410.15
  5. Step 5: Solve for x
    x = 17,175,410.15/4,660.22
  6. Step 6: Final answer
    x = 3,685.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.