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Finding the Fourth Proportional to 4,898.52, 7,355.07 and 1,982.52

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Solution

The fourth proportional to 4,898.52, 7,355.07 and 1,982.52 is: 2,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.52 : 7,355.07 = 1,982.52 : x
  2. Step 2: Convert to fraction form
    4,898.52/7,355.07 = 1,982.52/x
  3. Step 3: Cross multiply
    4,898.52x = 7,355.07 × 1,982.52
  4. Step 4: Simplify right side
    4,898.52x = 14,581,573.38
  5. Step 5: Solve for x
    x = 14,581,573.38/4,898.52
  6. Step 6: Final answer
    x = 2,976.73

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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.