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Finding the Fourth Proportional to 3,907.64, 5,861.50 and 1,310.60

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Solution

The fourth proportional to 3,907.64, 5,861.50 and 1,310.60 is: 1,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.64 : 5,861.50 = 1,310.60 : x
  2. Step 2: Convert to fraction form
    3,907.64/5,861.50 = 1,310.60/x
  3. Step 3: Cross multiply
    3,907.64x = 5,861.50 × 1,310.60
  4. Step 4: Simplify right side
    3,907.64x = 7,682,081.90
  5. Step 5: Solve for x
    x = 7,682,081.90/3,907.64
  6. Step 6: Final answer
    x = 1,965.91

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1.5x scale

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.