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Finding the Fourth Proportional to 7,198.50, 10,799.22 and 3,038.52

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Solution

The fourth proportional to 7,198.50, 10,799.22 and 3,038.52 is: 4,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.50 : 10,799.22 = 3,038.52 : x
  2. Step 2: Convert to fraction form
    7,198.50/10,799.22 = 3,038.52/x
  3. Step 3: Cross multiply
    7,198.50x = 10,799.22 × 3,038.52
  4. Step 4: Simplify right side
    7,198.50x = 32,813,645.95
  5. Step 5: Solve for x
    x = 32,813,645.95/7,198.50
  6. Step 6: Final answer
    x = 4,558.40

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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.