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Finding the Fourth Proportional to 4,677.37, 7,021.11 and 4,160.68

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Solution

The fourth proportional to 4,677.37, 7,021.11 and 4,160.68 is: 6,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.37 : 7,021.11 = 4,160.68 : x
  2. Step 2: Convert to fraction form
    4,677.37/7,021.11 = 4,160.68/x
  3. Step 3: Cross multiply
    4,677.37x = 7,021.11 × 4,160.68
  4. Step 4: Simplify right side
    4,677.37x = 29,212,591.95
  5. Step 5: Solve for x
    x = 29,212,591.95/4,677.37
  6. Step 6: Final answer
    x = 6,245.52

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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.