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Finding the Fourth Proportional to 3,799, 5,698.32 and 1,201.60

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Solution

The fourth proportional to 3,799, 5,698.32 and 1,201.60 is: 1,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799 : 5,698.32 = 1,201.60 : x
  2. Step 2: Convert to fraction form
    3,799/5,698.32 = 1,201.60/x
  3. Step 3: Cross multiply
    3,799x = 5,698.32 × 1,201.60
  4. Step 4: Simplify right side
    3,799x = 6,847,101.31
  5. Step 5: Solve for x
    x = 6,847,101.31/3,799
  6. Step 6: Final answer
    x = 1,802.34

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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.