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Finding the Fourth Proportional to 3,658.70, 5,489.06 and 1,467.45

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Solution

The fourth proportional to 3,658.70, 5,489.06 and 1,467.45 is: 2,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.70 : 5,489.06 = 1,467.45 : x
  2. Step 2: Convert to fraction form
    3,658.70/5,489.06 = 1,467.45/x
  3. Step 3: Cross multiply
    3,658.70x = 5,489.06 × 1,467.45
  4. Step 4: Simplify right side
    3,658.70x = 8,054,921.10
  5. Step 5: Solve for x
    x = 8,054,921.10/3,658.70
  6. Step 6: Final answer
    x = 2,201.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.