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Finding the Fourth Proportional to 4,658.92, 6,973.90 and 3,481.99

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Solution

The fourth proportional to 4,658.92, 6,973.90 and 3,481.99 is: 5,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.92 : 6,973.90 = 3,481.99 : x
  2. Step 2: Convert to fraction form
    4,658.92/6,973.90 = 3,481.99/x
  3. Step 3: Cross multiply
    4,658.92x = 6,973.90 × 3,481.99
  4. Step 4: Simplify right side
    4,658.92x = 24,283,023.92
  5. Step 5: Solve for x
    x = 24,283,023.92/4,658.92
  6. Step 6: Final answer
    x = 5,212.16

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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.