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Finding the Fourth Proportional to 5,298.21, 7,311.45 and 2,940.33

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Solution

The fourth proportional to 5,298.21, 7,311.45 and 2,940.33 is: 4,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.21 : 7,311.45 = 2,940.33 : x
  2. Step 2: Convert to fraction form
    5,298.21/7,311.45 = 2,940.33/x
  3. Step 3: Cross multiply
    5,298.21x = 7,311.45 × 2,940.33
  4. Step 4: Simplify right side
    5,298.21x = 21,498,075.78
  5. Step 5: Solve for x
    x = 21,498,075.78/5,298.21
  6. Step 6: Final answer
    x = 4,057.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.