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Finding the Fourth Proportional to 5,198.03, 7,797.03 and 1,302.44

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Solution

The fourth proportional to 5,198.03, 7,797.03 and 1,302.44 is: 1,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.03 : 7,797.03 = 1,302.44 : x
  2. Step 2: Convert to fraction form
    5,198.03/7,797.03 = 1,302.44/x
  3. Step 3: Cross multiply
    5,198.03x = 7,797.03 × 1,302.44
  4. Step 4: Simplify right side
    5,198.03x = 10,155,124.77
  5. Step 5: Solve for x
    x = 10,155,124.77/5,198.03
  6. Step 6: Final answer
    x = 1,953.65

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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.