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Finding the Fourth Proportional to 3,809.35, 5,714.54 and 1,177.05

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Solution

The fourth proportional to 3,809.35, 5,714.54 and 1,177.05 is: 1,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.35 : 5,714.54 = 1,177.05 : x
  2. Step 2: Convert to fraction form
    3,809.35/5,714.54 = 1,177.05/x
  3. Step 3: Cross multiply
    3,809.35x = 5,714.54 × 1,177.05
  4. Step 4: Simplify right side
    3,809.35x = 6,726,299.31
  5. Step 5: Solve for x
    x = 6,726,299.31/3,809.35
  6. Step 6: Final answer
    x = 1,765.73

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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.