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Finding the Fourth Proportional to 3,899.73, 5,849.61 and 978.02

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Solution

The fourth proportional to 3,899.73, 5,849.61 and 978.02 is: 1,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.73 : 5,849.61 = 978.02 : x
  2. Step 2: Convert to fraction form
    3,899.73/5,849.61 = 978.02/x
  3. Step 3: Cross multiply
    3,899.73x = 5,849.61 × 978.02
  4. Step 4: Simplify right side
    3,899.73x = 5,721,035.57
  5. Step 5: Solve for x
    x = 5,721,035.57/3,899.73
  6. Step 6: Final answer
    x = 1,467.03

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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.