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Finding the Fourth Proportional to 3,693.99, 5,099.59 and 2,852.80

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Solution

The fourth proportional to 3,693.99, 5,099.59 and 2,852.80 is: 3,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.99 : 5,099.59 = 2,852.80 : x
  2. Step 2: Convert to fraction form
    3,693.99/5,099.59 = 2,852.80/x
  3. Step 3: Cross multiply
    3,693.99x = 5,099.59 × 2,852.80
  4. Step 4: Simplify right side
    3,693.99x = 14,548,115.97
  5. Step 5: Solve for x
    x = 14,548,115.97/3,693.99
  6. Step 6: Final answer
    x = 3,938.32

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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.