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Finding the Fourth Proportional to 3,544.68, 5,292.87 and 3,172.08

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Solution

The fourth proportional to 3,544.68, 5,292.87 and 3,172.08 is: 4,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.68 : 5,292.87 = 3,172.08 : x
  2. Step 2: Convert to fraction form
    3,544.68/5,292.87 = 3,172.08/x
  3. Step 3: Cross multiply
    3,544.68x = 5,292.87 × 3,172.08
  4. Step 4: Simplify right side
    3,544.68x = 16,789,407.07
  5. Step 5: Solve for x
    x = 16,789,407.07/3,544.68
  6. Step 6: Final answer
    x = 4,736.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.