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Finding the Fourth Proportional to 4,911.82, 7,357.70 and 4,087.44

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Solution

The fourth proportional to 4,911.82, 7,357.70 and 4,087.44 is: 6,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.82 : 7,357.70 = 4,087.44 : x
  2. Step 2: Convert to fraction form
    4,911.82/7,357.70 = 4,087.44/x
  3. Step 3: Cross multiply
    4,911.82x = 7,357.70 × 4,087.44
  4. Step 4: Simplify right side
    4,911.82x = 30,074,100.06
  5. Step 5: Solve for x
    x = 30,074,100.06/4,911.82
  6. Step 6: Final answer
    x = 6,122.80

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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.