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Finding the Fourth Proportional to 3,610.50, 5,406.57 and 3,277.68

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Solution

The fourth proportional to 3,610.50, 5,406.57 and 3,277.68 is: 4,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.50 : 5,406.57 = 3,277.68 : x
  2. Step 2: Convert to fraction form
    3,610.50/5,406.57 = 3,277.68/x
  3. Step 3: Cross multiply
    3,610.50x = 5,406.57 × 3,277.68
  4. Step 4: Simplify right side
    3,610.50x = 17,721,006.36
  5. Step 5: Solve for x
    x = 17,721,006.36/3,610.50
  6. Step 6: Final answer
    x = 4,908.19

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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.