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Finding the Fourth Proportional to 3,274.24, 4,914.19 and 1,715.33

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Solution

The fourth proportional to 3,274.24, 4,914.19 and 1,715.33 is: 2,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.24 : 4,914.19 = 1,715.33 : x
  2. Step 2: Convert to fraction form
    3,274.24/4,914.19 = 1,715.33/x
  3. Step 3: Cross multiply
    3,274.24x = 4,914.19 × 1,715.33
  4. Step 4: Simplify right side
    3,274.24x = 8,429,449.14
  5. Step 5: Solve for x
    x = 8,429,449.14/3,274.24
  6. Step 6: Final answer
    x = 2,574.48

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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.