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Finding the Fourth Proportional to 5,205.52, 7,819.01 and 4,980.95

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Solution

The fourth proportional to 5,205.52, 7,819.01 and 4,980.95 is: 7,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.52 : 7,819.01 = 4,980.95 : x
  2. Step 2: Convert to fraction form
    5,205.52/7,819.01 = 4,980.95/x
  3. Step 3: Cross multiply
    5,205.52x = 7,819.01 × 4,980.95
  4. Step 4: Simplify right side
    5,205.52x = 38,946,097.86
  5. Step 5: Solve for x
    x = 38,946,097.86/5,205.52
  6. Step 6: Final answer
    x = 7,481.69

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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.