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Finding the Fourth Proportional to 5,261.25, 7,891.89 and 1,365.69

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Solution

The fourth proportional to 5,261.25, 7,891.89 and 1,365.69 is: 2,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.25 : 7,891.89 = 1,365.69 : x
  2. Step 2: Convert to fraction form
    5,261.25/7,891.89 = 1,365.69/x
  3. Step 3: Cross multiply
    5,261.25x = 7,891.89 × 1,365.69
  4. Step 4: Simplify right side
    5,261.25x = 10,777,875.25
  5. Step 5: Solve for x
    x = 10,777,875.25/5,261.25
  6. Step 6: Final answer
    x = 2,048.54

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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.