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Finding the Fourth Proportional to 3,689.10, 5,533.11 and 1,223.82

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Solution

The fourth proportional to 3,689.10, 5,533.11 and 1,223.82 is: 1,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.10 : 5,533.11 = 1,223.82 : x
  2. Step 2: Convert to fraction form
    3,689.10/5,533.11 = 1,223.82/x
  3. Step 3: Cross multiply
    3,689.10x = 5,533.11 × 1,223.82
  4. Step 4: Simplify right side
    3,689.10x = 6,771,530.68
  5. Step 5: Solve for x
    x = 6,771,530.68/3,689.10
  6. Step 6: Final answer
    x = 1,835.55

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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.