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Finding the Fourth Proportional to 4,200.67, 6,297.64 and 2,721.40

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Solution

The fourth proportional to 4,200.67, 6,297.64 and 2,721.40 is: 4,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.67 : 6,297.64 = 2,721.40 : x
  2. Step 2: Convert to fraction form
    4,200.67/6,297.64 = 2,721.40/x
  3. Step 3: Cross multiply
    4,200.67x = 6,297.64 × 2,721.40
  4. Step 4: Simplify right side
    4,200.67x = 17,138,397.50
  5. Step 5: Solve for x
    x = 17,138,397.50/4,200.67
  6. Step 6: Final answer
    x = 4,079.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.