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Finding the Fourth Proportional to 5,208, 7,189.41 and 3,322.17

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Solution

The fourth proportional to 5,208, 7,189.41 and 3,322.17 is: 4,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208 : 7,189.41 = 3,322.17 : x
  2. Step 2: Convert to fraction form
    5,208/7,189.41 = 3,322.17/x
  3. Step 3: Cross multiply
    5,208x = 7,189.41 × 3,322.17
  4. Step 4: Simplify right side
    5,208x = 23,884,442.22
  5. Step 5: Solve for x
    x = 23,884,442.22/5,208
  6. Step 6: Final answer
    x = 4,586.11

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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.