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Finding the Fourth Proportional to 4,488.60, 6,682.53 and 4,467

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Solution

The fourth proportional to 4,488.60, 6,682.53 and 4,467 is: 6,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.60 : 6,682.53 = 4,467 : x
  2. Step 2: Convert to fraction form
    4,488.60/6,682.53 = 4,467/x
  3. Step 3: Cross multiply
    4,488.60x = 6,682.53 × 4,467
  4. Step 4: Simplify right side
    4,488.60x = 29,850,861.51
  5. Step 5: Solve for x
    x = 29,850,861.51/4,488.60
  6. Step 6: Final answer
    x = 6,650.37

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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.