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Finding the Fourth Proportional to 3,658.89, 5,488.30 and 1,467.59

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Solution

The fourth proportional to 3,658.89, 5,488.30 and 1,467.59 is: 2,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.89 : 5,488.30 = 1,467.59 : x
  2. Step 2: Convert to fraction form
    3,658.89/5,488.30 = 1,467.59/x
  3. Step 3: Cross multiply
    3,658.89x = 5,488.30 × 1,467.59
  4. Step 4: Simplify right side
    3,658.89x = 8,054,548.59
  5. Step 5: Solve for x
    x = 8,054,548.59/3,658.89
  6. Step 6: Final answer
    x = 2,201.36

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