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Finding the Fourth Proportional to 3,259.85, 4,886.26 and 1,311.53

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Solution

The fourth proportional to 3,259.85, 4,886.26 and 1,311.53 is: 1,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.85 : 4,886.26 = 1,311.53 : x
  2. Step 2: Convert to fraction form
    3,259.85/4,886.26 = 1,311.53/x
  3. Step 3: Cross multiply
    3,259.85x = 4,886.26 × 1,311.53
  4. Step 4: Simplify right side
    3,259.85x = 6,408,448.87
  5. Step 5: Solve for x
    x = 6,408,448.87/3,259.85
  6. Step 6: Final answer
    x = 1,965.88

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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.