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Finding the Fourth Proportional to 4,982.99, 7,469.69 and 1,862.12

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Solution

The fourth proportional to 4,982.99, 7,469.69 and 1,862.12 is: 2,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.99 : 7,469.69 = 1,862.12 : x
  2. Step 2: Convert to fraction form
    4,982.99/7,469.69 = 1,862.12/x
  3. Step 3: Cross multiply
    4,982.99x = 7,469.69 × 1,862.12
  4. Step 4: Simplify right side
    4,982.99x = 13,909,468.51
  5. Step 5: Solve for x
    x = 13,909,468.51/4,982.99
  6. Step 6: Final answer
    x = 2,791.39

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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.