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Finding the Fourth Proportional to 3,522.88, 4,857.60 and 2,635.84

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Solution

The fourth proportional to 3,522.88, 4,857.60 and 2,635.84 is: 3,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.88 : 4,857.60 = 2,635.84 : x
  2. Step 2: Convert to fraction form
    3,522.88/4,857.60 = 2,635.84/x
  3. Step 3: Cross multiply
    3,522.88x = 4,857.60 × 2,635.84
  4. Step 4: Simplify right side
    3,522.88x = 12,803,856.38
  5. Step 5: Solve for x
    x = 12,803,856.38/3,522.88
  6. Step 6: Final answer
    x = 3,634.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.