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Finding the Fourth Proportional to 3,852.59, 5,777.96 and 1,079.37

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Solution

The fourth proportional to 3,852.59, 5,777.96 and 1,079.37 is: 1,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.59 : 5,777.96 = 1,079.37 : x
  2. Step 2: Convert to fraction form
    3,852.59/5,777.96 = 1,079.37/x
  3. Step 3: Cross multiply
    3,852.59x = 5,777.96 × 1,079.37
  4. Step 4: Simplify right side
    3,852.59x = 6,236,551.29
  5. Step 5: Solve for x
    x = 6,236,551.29/3,852.59
  6. Step 6: Final answer
    x = 1,618.80

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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.