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Finding the Fourth Proportional to 3,811.60, 5,714.97 and 1,619.20

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Solution

The fourth proportional to 3,811.60, 5,714.97 and 1,619.20 is: 2,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.60 : 5,714.97 = 1,619.20 : x
  2. Step 2: Convert to fraction form
    3,811.60/5,714.97 = 1,619.20/x
  3. Step 3: Cross multiply
    3,811.60x = 5,714.97 × 1,619.20
  4. Step 4: Simplify right side
    3,811.60x = 9,253,679.42
  5. Step 5: Solve for x
    x = 9,253,679.42/3,811.60
  6. Step 6: Final answer
    x = 2,427.77

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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.