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Finding the Fourth Proportional to 3,522.66, 5,284.35 and 1,213.62

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Solution

The fourth proportional to 3,522.66, 5,284.35 and 1,213.62 is: 1,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.66 : 5,284.35 = 1,213.62 : x
  2. Step 2: Convert to fraction form
    3,522.66/5,284.35 = 1,213.62/x
  3. Step 3: Cross multiply
    3,522.66x = 5,284.35 × 1,213.62
  4. Step 4: Simplify right side
    3,522.66x = 6,413,192.85
  5. Step 5: Solve for x
    x = 6,413,192.85/3,522.66
  6. Step 6: Final answer
    x = 1,820.55

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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.