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Finding the Fourth Proportional to 3,907.64, 5,863.08 and 1,310.78

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Solution

The fourth proportional to 3,907.64, 5,863.08 and 1,310.78 is: 1,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.64 : 5,863.08 = 1,310.78 : x
  2. Step 2: Convert to fraction form
    3,907.64/5,863.08 = 1,310.78/x
  3. Step 3: Cross multiply
    3,907.64x = 5,863.08 × 1,310.78
  4. Step 4: Simplify right side
    3,907.64x = 7,685,208.00
  5. Step 5: Solve for x
    x = 7,685,208.00/3,907.64
  6. Step 6: Final answer
    x = 1,966.71

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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.