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Finding the Fourth Proportional to 4,000.67, 6,001 and 1,078.97

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Solution

The fourth proportional to 4,000.67, 6,001 and 1,078.97 is: 1,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.67 : 6,001 = 1,078.97 : x
  2. Step 2: Convert to fraction form
    4,000.67/6,001 = 1,078.97/x
  3. Step 3: Cross multiply
    4,000.67x = 6,001 × 1,078.97
  4. Step 4: Simplify right side
    4,000.67x = 6,474,898.97
  5. Step 5: Solve for x
    x = 6,474,898.97/4,000.67
  6. Step 6: Final answer
    x = 1,618.45

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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.