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Finding the Fourth Proportional to 5,526, 7,625.84 and 3,287.84

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Solution

The fourth proportional to 5,526, 7,625.84 and 3,287.84 is: 4,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526 : 7,625.84 = 3,287.84 : x
  2. Step 2: Convert to fraction form
    5,526/7,625.84 = 3,287.84/x
  3. Step 3: Cross multiply
    5,526x = 7,625.84 × 3,287.84
  4. Step 4: Simplify right side
    5,526x = 25,072,487.22
  5. Step 5: Solve for x
    x = 25,072,487.22/5,526
  6. Step 6: Final answer
    x = 4,537.19

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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.