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Finding the Fourth Proportional to 3,794.22, 5,666.15 and 3,275.49

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Solution

The fourth proportional to 3,794.22, 5,666.15 and 3,275.49 is: 4,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.22 : 5,666.15 = 3,275.49 : x
  2. Step 2: Convert to fraction form
    3,794.22/5,666.15 = 3,275.49/x
  3. Step 3: Cross multiply
    3,794.22x = 5,666.15 × 3,275.49
  4. Step 4: Simplify right side
    3,794.22x = 18,559,415.23
  5. Step 5: Solve for x
    x = 18,559,415.23/3,794.22
  6. Step 6: Final answer
    x = 4,891.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.