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Finding the Fourth Proportional to 3,783.45, 5,221.41 and 2,291.43

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Solution

The fourth proportional to 3,783.45, 5,221.41 and 2,291.43 is: 3,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.45 : 5,221.41 = 2,291.43 : x
  2. Step 2: Convert to fraction form
    3,783.45/5,221.41 = 2,291.43/x
  3. Step 3: Cross multiply
    3,783.45x = 5,221.41 × 2,291.43
  4. Step 4: Simplify right side
    3,783.45x = 11,964,495.52
  5. Step 5: Solve for x
    x = 11,964,495.52/3,783.45
  6. Step 6: Final answer
    x = 3,162.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.