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Finding the Fourth Proportional to 3,296.53, 4,549.75 and 1,900.09

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Solution

The fourth proportional to 3,296.53, 4,549.75 and 1,900.09 is: 2,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.53 : 4,549.75 = 1,900.09 : x
  2. Step 2: Convert to fraction form
    3,296.53/4,549.75 = 1,900.09/x
  3. Step 3: Cross multiply
    3,296.53x = 4,549.75 × 1,900.09
  4. Step 4: Simplify right side
    3,296.53x = 8,644,946.10
  5. Step 5: Solve for x
    x = 8,644,946.10/3,296.53
  6. Step 6: Final answer
    x = 2,622.44

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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.