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Finding the Fourth Proportional to 5,937.69, 8,907.30 and 2,189.72

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Solution

The fourth proportional to 5,937.69, 8,907.30 and 2,189.72 is: 3,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.69 : 8,907.30 = 2,189.72 : x
  2. Step 2: Convert to fraction form
    5,937.69/8,907.30 = 2,189.72/x
  3. Step 3: Cross multiply
    5,937.69x = 8,907.30 × 2,189.72
  4. Step 4: Simplify right side
    5,937.69x = 19,504,515.22
  5. Step 5: Solve for x
    x = 19,504,515.22/5,937.69
  6. Step 6: Final answer
    x = 3,284.86

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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.