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Finding the Fourth Proportional to 5,193.39, 7,170.32 and 3,206.87

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Solution

The fourth proportional to 5,193.39, 7,170.32 and 3,206.87 is: 4,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.39 : 7,170.32 = 3,206.87 : x
  2. Step 2: Convert to fraction form
    5,193.39/7,170.32 = 3,206.87/x
  3. Step 3: Cross multiply
    5,193.39x = 7,170.32 × 3,206.87
  4. Step 4: Simplify right side
    5,193.39x = 22,994,232.21
  5. Step 5: Solve for x
    x = 22,994,232.21/5,193.39
  6. Step 6: Final answer
    x = 4,427.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.