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Finding the Fourth Proportional to 3,538.94, 5,309.79 and 1,074.02

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Solution

The fourth proportional to 3,538.94, 5,309.79 and 1,074.02 is: 1,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.94 : 5,309.79 = 1,074.02 : x
  2. Step 2: Convert to fraction form
    3,538.94/5,309.79 = 1,074.02/x
  3. Step 3: Cross multiply
    3,538.94x = 5,309.79 × 1,074.02
  4. Step 4: Simplify right side
    3,538.94x = 5,702,788.74
  5. Step 5: Solve for x
    x = 5,702,788.74/3,538.94
  6. Step 6: Final answer
    x = 1,611.44

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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.