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Finding the Fourth Proportional to 3,852.53, 5,777.77 and 1,079.03

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Solution

The fourth proportional to 3,852.53, 5,777.77 and 1,079.03 is: 1,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.53 : 5,777.77 = 1,079.03 : x
  2. Step 2: Convert to fraction form
    3,852.53/5,777.77 = 1,079.03/x
  3. Step 3: Cross multiply
    3,852.53x = 5,777.77 × 1,079.03
  4. Step 4: Simplify right side
    3,852.53x = 6,234,387.16
  5. Step 5: Solve for x
    x = 6,234,387.16/3,852.53
  6. Step 6: Final answer
    x = 1,618.26

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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.