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Finding the Fourth Proportional to 3,467.57, 5,192.07 and 1,820.66

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Solution

The fourth proportional to 3,467.57, 5,192.07 and 1,820.66 is: 2,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.57 : 5,192.07 = 1,820.66 : x
  2. Step 2: Convert to fraction form
    3,467.57/5,192.07 = 1,820.66/x
  3. Step 3: Cross multiply
    3,467.57x = 5,192.07 × 1,820.66
  4. Step 4: Simplify right side
    3,467.57x = 9,452,968.21
  5. Step 5: Solve for x
    x = 9,452,968.21/3,467.57
  6. Step 6: Final answer
    x = 2,726.11

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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.