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Finding the Fourth Proportional to 3,522.44, 5,287.50 and 2,981.32

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Solution

The fourth proportional to 3,522.44, 5,287.50 and 2,981.32 is: 4,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.44 : 5,287.50 = 2,981.32 : x
  2. Step 2: Convert to fraction form
    3,522.44/5,287.50 = 2,981.32/x
  3. Step 3: Cross multiply
    3,522.44x = 5,287.50 × 2,981.32
  4. Step 4: Simplify right side
    3,522.44x = 15,763,729.50
  5. Step 5: Solve for x
    x = 15,763,729.50/3,522.44
  6. Step 6: Final answer
    x = 4,475.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.