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Finding the Fourth Proportional to 3,799.48, 5,699.84 and 1,201.82

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Solution

The fourth proportional to 3,799.48, 5,699.84 and 1,201.82 is: 1,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.48 : 5,699.84 = 1,201.82 : x
  2. Step 2: Convert to fraction form
    3,799.48/5,699.84 = 1,201.82/x
  3. Step 3: Cross multiply
    3,799.48x = 5,699.84 × 1,201.82
  4. Step 4: Simplify right side
    3,799.48x = 6,850,181.71
  5. Step 5: Solve for x
    x = 6,850,181.71/3,799.48
  6. Step 6: Final answer
    x = 1,802.93

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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.