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Finding the Fourth Proportional to 3,811.64, 5,260.26 and 2,319.30

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Solution

The fourth proportional to 3,811.64, 5,260.26 and 2,319.30 is: 3,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.64 : 5,260.26 = 2,319.30 : x
  2. Step 2: Convert to fraction form
    3,811.64/5,260.26 = 2,319.30/x
  3. Step 3: Cross multiply
    3,811.64x = 5,260.26 × 2,319.30
  4. Step 4: Simplify right side
    3,811.64x = 12,200,121.02
  5. Step 5: Solve for x
    x = 12,200,121.02/3,811.64
  6. Step 6: Final answer
    x = 3,200.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.