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Finding the Fourth Proportional to 5,228.19, 7,843.08 and 1,896.71

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Solution

The fourth proportional to 5,228.19, 7,843.08 and 1,896.71 is: 2,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.19 : 7,843.08 = 1,896.71 : x
  2. Step 2: Convert to fraction form
    5,228.19/7,843.08 = 1,896.71/x
  3. Step 3: Cross multiply
    5,228.19x = 7,843.08 × 1,896.71
  4. Step 4: Simplify right side
    5,228.19x = 14,876,009.05
  5. Step 5: Solve for x
    x = 14,876,009.05/5,228.19
  6. Step 6: Final answer
    x = 2,845.35

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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.