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Finding the Fourth Proportional to 5,226.81, 7,838.60 and 1,763.25

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Solution

The fourth proportional to 5,226.81, 7,838.60 and 1,763.25 is: 2,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.81 : 7,838.60 = 1,763.25 : x
  2. Step 2: Convert to fraction form
    5,226.81/7,838.60 = 1,763.25/x
  3. Step 3: Cross multiply
    5,226.81x = 7,838.60 × 1,763.25
  4. Step 4: Simplify right side
    5,226.81x = 13,821,402.63
  5. Step 5: Solve for x
    x = 13,821,402.63/5,226.81
  6. Step 6: Final answer
    x = 2,644.33

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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.