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Finding the Fourth Proportional to 3,449.33, 5,172.60 and 1,695.09

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Solution

The fourth proportional to 3,449.33, 5,172.60 and 1,695.09 is: 2,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.33 : 5,172.60 = 1,695.09 : x
  2. Step 2: Convert to fraction form
    3,449.33/5,172.60 = 1,695.09/x
  3. Step 3: Cross multiply
    3,449.33x = 5,172.60 × 1,695.09
  4. Step 4: Simplify right side
    3,449.33x = 8,768,014.06
  5. Step 5: Solve for x
    x = 8,768,014.06/3,449.33
  6. Step 6: Final answer
    x = 2,541.95

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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.