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Finding the Fourth Proportional to 3,816.60, 5,714.10 and 3,427.80

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Solution

The fourth proportional to 3,816.60, 5,714.10 and 3,427.80 is: 5,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.60 : 5,714.10 = 3,427.80 : x
  2. Step 2: Convert to fraction form
    3,816.60/5,714.10 = 3,427.80/x
  3. Step 3: Cross multiply
    3,816.60x = 5,714.10 × 3,427.80
  4. Step 4: Simplify right side
    3,816.60x = 19,586,791.98
  5. Step 5: Solve for x
    x = 19,586,791.98/3,816.60
  6. Step 6: Final answer
    x = 5,132.00

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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.