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Finding the Fourth Proportional to 3,775.91, 5,655.65 and 1,824

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Solution

The fourth proportional to 3,775.91, 5,655.65 and 1,824 is: 2,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.91 : 5,655.65 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,775.91/5,655.65 = 1,824/x
  3. Step 3: Cross multiply
    3,775.91x = 5,655.65 × 1,824
  4. Step 4: Simplify right side
    3,775.91x = 10,315,896.48
  5. Step 5: Solve for x
    x = 10,315,896.48/3,775.91
  6. Step 6: Final answer
    x = 2,732.03

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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.