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Finding the Fourth Proportional to 3,539.40, 5,309.61 and 1,199.61

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Solution

The fourth proportional to 3,539.40, 5,309.61 and 1,199.61 is: 1,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.40 : 5,309.61 = 1,199.61 : x
  2. Step 2: Convert to fraction form
    3,539.40/5,309.61 = 1,199.61/x
  3. Step 3: Cross multiply
    3,539.40x = 5,309.61 × 1,199.61
  4. Step 4: Simplify right side
    3,539.40x = 6,369,461.25
  5. Step 5: Solve for x
    x = 6,369,461.25/3,539.40
  6. Step 6: Final answer
    x = 1,799.59

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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.