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Finding the Fourth Proportional to 4,801.23, 7,202.85 and 1,879.50

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Solution

The fourth proportional to 4,801.23, 7,202.85 and 1,879.50 is: 2,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.23 : 7,202.85 = 1,879.50 : x
  2. Step 2: Convert to fraction form
    4,801.23/7,202.85 = 1,879.50/x
  3. Step 3: Cross multiply
    4,801.23x = 7,202.85 × 1,879.50
  4. Step 4: Simplify right side
    4,801.23x = 13,537,756.58
  5. Step 5: Solve for x
    x = 13,537,756.58/4,801.23
  6. Step 6: Final answer
    x = 2,819.64

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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.