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Finding the Fourth Proportional to 3,214.57, 4,816.35 and 1,754.75

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Solution

The fourth proportional to 3,214.57, 4,816.35 and 1,754.75 is: 2,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.57 : 4,816.35 = 1,754.75 : x
  2. Step 2: Convert to fraction form
    3,214.57/4,816.35 = 1,754.75/x
  3. Step 3: Cross multiply
    3,214.57x = 4,816.35 × 1,754.75
  4. Step 4: Simplify right side
    3,214.57x = 8,451,466.08
  5. Step 5: Solve for x
    x = 8,451,466.08/3,214.57
  6. Step 6: Final answer
    x = 2,629.11

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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.