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Finding the Fourth Proportional to 3,790.21, 5,664.18 and 3,579.61

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Solution

The fourth proportional to 3,790.21, 5,664.18 and 3,579.61 is: 5,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.21 : 5,664.18 = 3,579.61 : x
  2. Step 2: Convert to fraction form
    3,790.21/5,664.18 = 3,579.61/x
  3. Step 3: Cross multiply
    3,790.21x = 5,664.18 × 3,579.61
  4. Step 4: Simplify right side
    3,790.21x = 20,275,555.37
  5. Step 5: Solve for x
    x = 20,275,555.37/3,790.21
  6. Step 6: Final answer
    x = 5,349.45

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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.