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Finding the Fourth Proportional to 3,882.69, 5,824.53 and 1,417.77

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Solution

The fourth proportional to 3,882.69, 5,824.53 and 1,417.77 is: 2,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.69 : 5,824.53 = 1,417.77 : x
  2. Step 2: Convert to fraction form
    3,882.69/5,824.53 = 1,417.77/x
  3. Step 3: Cross multiply
    3,882.69x = 5,824.53 × 1,417.77
  4. Step 4: Simplify right side
    3,882.69x = 8,257,843.90
  5. Step 5: Solve for x
    x = 8,257,843.90/3,882.69
  6. Step 6: Final answer
    x = 2,126.84

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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.