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Finding the Fourth Proportional to 3,522.34, 5,284.05 and 3,084.94

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Solution

The fourth proportional to 3,522.34, 5,284.05 and 3,084.94 is: 4,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.34 : 5,284.05 = 3,084.94 : x
  2. Step 2: Convert to fraction form
    3,522.34/5,284.05 = 3,084.94/x
  3. Step 3: Cross multiply
    3,522.34x = 5,284.05 × 3,084.94
  4. Step 4: Simplify right side
    3,522.34x = 16,300,977.21
  5. Step 5: Solve for x
    x = 16,300,977.21/3,522.34
  6. Step 6: Final answer
    x = 4,627.88

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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.