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Finding the Fourth Proportional to 3,851.99, 5,315.74 and 2,173.39

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Solution

The fourth proportional to 3,851.99, 5,315.74 and 2,173.39 is: 2,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.99 : 5,315.74 = 2,173.39 : x
  2. Step 2: Convert to fraction form
    3,851.99/5,315.74 = 2,173.39/x
  3. Step 3: Cross multiply
    3,851.99x = 5,315.74 × 2,173.39
  4. Step 4: Simplify right side
    3,851.99x = 11,553,149.58
  5. Step 5: Solve for x
    x = 11,553,149.58/3,851.99
  6. Step 6: Final answer
    x = 2,999.27

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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.