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Finding the Fourth Proportional to 3,892.64, 5,864.96 and 3,522.94

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Solution

The fourth proportional to 3,892.64, 5,864.96 and 3,522.94 is: 5,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.64 : 5,864.96 = 3,522.94 : x
  2. Step 2: Convert to fraction form
    3,892.64/5,864.96 = 3,522.94/x
  3. Step 3: Cross multiply
    3,892.64x = 5,864.96 × 3,522.94
  4. Step 4: Simplify right side
    3,892.64x = 20,661,910.99
  5. Step 5: Solve for x
    x = 20,661,910.99/3,892.64
  6. Step 6: Final answer
    x = 5,307.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.