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Finding the Fourth Proportional to 5,261.09, 7,891.65 and 1,365.53

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Solution

The fourth proportional to 5,261.09, 7,891.65 and 1,365.53 is: 2,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.09 : 7,891.65 = 1,365.53 : x
  2. Step 2: Convert to fraction form
    5,261.09/7,891.65 = 1,365.53/x
  3. Step 3: Cross multiply
    5,261.09x = 7,891.65 × 1,365.53
  4. Step 4: Simplify right side
    5,261.09x = 10,776,245.37
  5. Step 5: Solve for x
    x = 10,776,245.37/5,261.09
  6. Step 6: Final answer
    x = 2,048.29

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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.