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Finding the Fourth Proportional to 4,087.80, 6,131.04 and 1,165.42

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Solution

The fourth proportional to 4,087.80, 6,131.04 and 1,165.42 is: 1,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.80 : 6,131.04 = 1,165.42 : x
  2. Step 2: Convert to fraction form
    4,087.80/6,131.04 = 1,165.42/x
  3. Step 3: Cross multiply
    4,087.80x = 6,131.04 × 1,165.42
  4. Step 4: Simplify right side
    4,087.80x = 7,145,236.64
  5. Step 5: Solve for x
    x = 7,145,236.64/4,087.80
  6. Step 6: Final answer
    x = 1,747.94

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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.