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Finding the Fourth Proportional to 3,415.61, 5,120.17 and 1,223.21

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Solution

The fourth proportional to 3,415.61, 5,120.17 and 1,223.21 is: 1,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.61 : 5,120.17 = 1,223.21 : x
  2. Step 2: Convert to fraction form
    3,415.61/5,120.17 = 1,223.21/x
  3. Step 3: Cross multiply
    3,415.61x = 5,120.17 × 1,223.21
  4. Step 4: Simplify right side
    3,415.61x = 6,263,043.15
  5. Step 5: Solve for x
    x = 6,263,043.15/3,415.61
  6. Step 6: Final answer
    x = 1,833.65

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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.