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Finding the Fourth Proportional to 4,798.62, 7,180.82 and 3,318.14

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Solution

The fourth proportional to 4,798.62, 7,180.82 and 3,318.14 is: 4,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.62 : 7,180.82 = 3,318.14 : x
  2. Step 2: Convert to fraction form
    4,798.62/7,180.82 = 3,318.14/x
  3. Step 3: Cross multiply
    4,798.62x = 7,180.82 × 3,318.14
  4. Step 4: Simplify right side
    4,798.62x = 23,826,992.32
  5. Step 5: Solve for x
    x = 23,826,992.32/4,798.62
  6. Step 6: Final answer
    x = 4,965.38

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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.