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Finding the Fourth Proportional to 5,228.87, 7,841.00 and 2,456.33

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Solution

The fourth proportional to 5,228.87, 7,841.00 and 2,456.33 is: 3,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.87 : 7,841.00 = 2,456.33 : x
  2. Step 2: Convert to fraction form
    5,228.87/7,841.00 = 2,456.33/x
  3. Step 3: Cross multiply
    5,228.87x = 7,841.00 × 2,456.33
  4. Step 4: Simplify right side
    5,228.87x = 19,260,032.04
  5. Step 5: Solve for x
    x = 19,260,032.04/5,228.87
  6. Step 6: Final answer
    x = 3,683.41

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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.