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Finding the Fourth Proportional to 3,783, 5,221.02 and 2,291.46

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Solution

The fourth proportional to 3,783, 5,221.02 and 2,291.46 is: 3,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783 : 5,221.02 = 2,291.46 : x
  2. Step 2: Convert to fraction form
    3,783/5,221.02 = 2,291.46/x
  3. Step 3: Cross multiply
    3,783x = 5,221.02 × 2,291.46
  4. Step 4: Simplify right side
    3,783x = 11,963,758.49
  5. Step 5: Solve for x
    x = 11,963,758.49/3,783
  6. Step 6: Final answer
    x = 3,162.51

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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.