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Finding the Fourth Proportional to 3,416.92, 5,122.27 and 1,225.13

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Solution

The fourth proportional to 3,416.92, 5,122.27 and 1,225.13 is: 1,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.92 : 5,122.27 = 1,225.13 : x
  2. Step 2: Convert to fraction form
    3,416.92/5,122.27 = 1,225.13/x
  3. Step 3: Cross multiply
    3,416.92x = 5,122.27 × 1,225.13
  4. Step 4: Simplify right side
    3,416.92x = 6,275,422.57
  5. Step 5: Solve for x
    x = 6,275,422.57/3,416.92
  6. Step 6: Final answer
    x = 1,836.57

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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.