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Finding the Fourth Proportional to 5,522.64, 7,618.73 and 3,283.24

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Solution

The fourth proportional to 5,522.64, 7,618.73 and 3,283.24 is: 4,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.64 : 7,618.73 = 3,283.24 : x
  2. Step 2: Convert to fraction form
    5,522.64/7,618.73 = 3,283.24/x
  3. Step 3: Cross multiply
    5,522.64x = 7,618.73 × 3,283.24
  4. Step 4: Simplify right side
    5,522.64x = 25,014,119.09
  5. Step 5: Solve for x
    x = 25,014,119.09/5,522.64
  6. Step 6: Final answer
    x = 4,529.38

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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.