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Finding the Fourth Proportional to 5,198.58, 7,780.05 and 4,501.98

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Solution

The fourth proportional to 5,198.58, 7,780.05 and 4,501.98 is: 6,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.58 : 7,780.05 = 4,501.98 : x
  2. Step 2: Convert to fraction form
    5,198.58/7,780.05 = 4,501.98/x
  3. Step 3: Cross multiply
    5,198.58x = 7,780.05 × 4,501.98
  4. Step 4: Simplify right side
    5,198.58x = 35,025,629.50
  5. Step 5: Solve for x
    x = 35,025,629.50/5,198.58
  6. Step 6: Final answer
    x = 6,737.54

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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.