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Finding the Fourth Proportional to 3,294.28, 4,546.11 and 1,897.03

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Solution

The fourth proportional to 3,294.28, 4,546.11 and 1,897.03 is: 2,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.28 : 4,546.11 = 1,897.03 : x
  2. Step 2: Convert to fraction form
    3,294.28/4,546.11 = 1,897.03/x
  3. Step 3: Cross multiply
    3,294.28x = 4,546.11 × 1,897.03
  4. Step 4: Simplify right side
    3,294.28x = 8,624,119.85
  5. Step 5: Solve for x
    x = 8,624,119.85/3,294.28
  6. Step 6: Final answer
    x = 2,617.91

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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.