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Finding the Fourth Proportional to 3,800.64, 5,671.50 and 3,363.24

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Solution

The fourth proportional to 3,800.64, 5,671.50 and 3,363.24 is: 5,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.64 : 5,671.50 = 3,363.24 : x
  2. Step 2: Convert to fraction form
    3,800.64/5,671.50 = 3,363.24/x
  3. Step 3: Cross multiply
    3,800.64x = 5,671.50 × 3,363.24
  4. Step 4: Simplify right side
    3,800.64x = 19,074,615.66
  5. Step 5: Solve for x
    x = 19,074,615.66/3,800.64
  6. Step 6: Final answer
    x = 5,018.79

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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.