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Finding the Fourth Proportional to 4,809.12, 7,213.74 and 1,522.50

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Solution

The fourth proportional to 4,809.12, 7,213.74 and 1,522.50 is: 2,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.12 : 7,213.74 = 1,522.50 : x
  2. Step 2: Convert to fraction form
    4,809.12/7,213.74 = 1,522.50/x
  3. Step 3: Cross multiply
    4,809.12x = 7,213.74 × 1,522.50
  4. Step 4: Simplify right side
    4,809.12x = 10,982,919.15
  5. Step 5: Solve for x
    x = 10,982,919.15/4,809.12
  6. Step 6: Final answer
    x = 2,283.77

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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.