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Finding the Fourth Proportional to 5,267.35, 7,907.10 and 3,189.70

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Solution

The fourth proportional to 5,267.35, 7,907.10 and 3,189.70 is: 4,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.35 : 7,907.10 = 3,189.70 : x
  2. Step 2: Convert to fraction form
    5,267.35/7,907.10 = 3,189.70/x
  3. Step 3: Cross multiply
    5,267.35x = 7,907.10 × 3,189.70
  4. Step 4: Simplify right side
    5,267.35x = 25,221,276.87
  5. Step 5: Solve for x
    x = 25,221,276.87/5,267.35
  6. Step 6: Final answer
    x = 4,788.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.