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Finding the Fourth Proportional to 3,811.70, 5,260.52 and 2,319.72

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Solution

The fourth proportional to 3,811.70, 5,260.52 and 2,319.72 is: 3,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.70 : 5,260.52 = 2,319.72 : x
  2. Step 2: Convert to fraction form
    3,811.70/5,260.52 = 2,319.72/x
  3. Step 3: Cross multiply
    3,811.70x = 5,260.52 × 2,319.72
  4. Step 4: Simplify right side
    3,811.70x = 12,202,933.45
  5. Step 5: Solve for x
    x = 12,202,933.45/3,811.70
  6. Step 6: Final answer
    x = 3,201.44

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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.