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Finding the Fourth Proportional to 3,897.19, 5,843.89 and 1,299.25

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Solution

The fourth proportional to 3,897.19, 5,843.89 and 1,299.25 is: 1,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.19 : 5,843.89 = 1,299.25 : x
  2. Step 2: Convert to fraction form
    3,897.19/5,843.89 = 1,299.25/x
  3. Step 3: Cross multiply
    3,897.19x = 5,843.89 × 1,299.25
  4. Step 4: Simplify right side
    3,897.19x = 7,592,674.08
  5. Step 5: Solve for x
    x = 7,592,674.08/3,897.19
  6. Step 6: Final answer
    x = 1,948.24

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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.