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Finding the Fourth Proportional to 3,448.93, 5,172.72 and 1,693.18

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Solution

The fourth proportional to 3,448.93, 5,172.72 and 1,693.18 is: 2,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.93 : 5,172.72 = 1,693.18 : x
  2. Step 2: Convert to fraction form
    3,448.93/5,172.72 = 1,693.18/x
  3. Step 3: Cross multiply
    3,448.93x = 5,172.72 × 1,693.18
  4. Step 4: Simplify right side
    3,448.93x = 8,758,346.05
  5. Step 5: Solve for x
    x = 8,758,346.05/3,448.93
  6. Step 6: Final answer
    x = 2,539.44

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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.