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Finding the Fourth Proportional to 3,364.02, 5,046.75 and 1,900.26

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Solution

The fourth proportional to 3,364.02, 5,046.75 and 1,900.26 is: 2,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.02 : 5,046.75 = 1,900.26 : x
  2. Step 2: Convert to fraction form
    3,364.02/5,046.75 = 1,900.26/x
  3. Step 3: Cross multiply
    3,364.02x = 5,046.75 × 1,900.26
  4. Step 4: Simplify right side
    3,364.02x = 9,590,137.16
  5. Step 5: Solve for x
    x = 9,590,137.16/3,364.02
  6. Step 6: Final answer
    x = 2,850.80

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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.