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Finding the Fourth Proportional to 3,492, 5,238.60 and 1,517.52

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Solution

The fourth proportional to 3,492, 5,238.60 and 1,517.52 is: 2,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492 : 5,238.60 = 1,517.52 : x
  2. Step 2: Convert to fraction form
    3,492/5,238.60 = 1,517.52/x
  3. Step 3: Cross multiply
    3,492x = 5,238.60 × 1,517.52
  4. Step 4: Simplify right side
    3,492x = 7,949,680.27
  5. Step 5: Solve for x
    x = 7,949,680.27/3,492
  6. Step 6: Final answer
    x = 2,276.54

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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.