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Finding the Fourth Proportional to 3,907.89, 5,861.89 and 1,275.38

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Solution

The fourth proportional to 3,907.89, 5,861.89 and 1,275.38 is: 1,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.89 : 5,861.89 = 1,275.38 : x
  2. Step 2: Convert to fraction form
    3,907.89/5,861.89 = 1,275.38/x
  3. Step 3: Cross multiply
    3,907.89x = 5,861.89 × 1,275.38
  4. Step 4: Simplify right side
    3,907.89x = 7,476,137.27
  5. Step 5: Solve for x
    x = 7,476,137.27/3,907.89
  6. Step 6: Final answer
    x = 1,913.09

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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.