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Finding the Fourth Proportional to 3,688.88, 5,529 and 1,740.56

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Solution

The fourth proportional to 3,688.88, 5,529 and 1,740.56 is: 2,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.88 : 5,529 = 1,740.56 : x
  2. Step 2: Convert to fraction form
    3,688.88/5,529 = 1,740.56/x
  3. Step 3: Cross multiply
    3,688.88x = 5,529 × 1,740.56
  4. Step 4: Simplify right side
    3,688.88x = 9,623,556.24
  5. Step 5: Solve for x
    x = 9,623,556.24/3,688.88
  6. Step 6: Final answer
    x = 2,608.80

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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.