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Finding the Fourth Proportional to 3,539.83, 5,309.97 and 1,074.85

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Solution

The fourth proportional to 3,539.83, 5,309.97 and 1,074.85 is: 1,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.83 : 5,309.97 = 1,074.85 : x
  2. Step 2: Convert to fraction form
    3,539.83/5,309.97 = 1,074.85/x
  3. Step 3: Cross multiply
    3,539.83x = 5,309.97 × 1,074.85
  4. Step 4: Simplify right side
    3,539.83x = 5,707,421.25
  5. Step 5: Solve for x
    x = 5,707,421.25/3,539.83
  6. Step 6: Final answer
    x = 1,612.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.