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Finding the Fourth Proportional to 3,799.85, 5,699.77 and 1,026.52

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Solution

The fourth proportional to 3,799.85, 5,699.77 and 1,026.52 is: 1,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.85 : 5,699.77 = 1,026.52 : x
  2. Step 2: Convert to fraction form
    3,799.85/5,699.77 = 1,026.52/x
  3. Step 3: Cross multiply
    3,799.85x = 5,699.77 × 1,026.52
  4. Step 4: Simplify right side
    3,799.85x = 5,850,943.15
  5. Step 5: Solve for x
    x = 5,850,943.15/3,799.85
  6. Step 6: Final answer
    x = 1,539.78

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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.