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Finding the Fourth Proportional to 3,680.45, 5,520.86 and 1,215.22

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Solution

The fourth proportional to 3,680.45, 5,520.86 and 1,215.22 is: 1,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.45 : 5,520.86 = 1,215.22 : x
  2. Step 2: Convert to fraction form
    3,680.45/5,520.86 = 1,215.22/x
  3. Step 3: Cross multiply
    3,680.45x = 5,520.86 × 1,215.22
  4. Step 4: Simplify right side
    3,680.45x = 6,709,054.52
  5. Step 5: Solve for x
    x = 6,709,054.52/3,680.45
  6. Step 6: Final answer
    x = 1,822.89

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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.