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Finding the Fourth Proportional to 5,796.81, 8,055.08 and 5,736.60

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Solution

The fourth proportional to 5,796.81, 8,055.08 and 5,736.60 is: 7,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.81 : 8,055.08 = 5,736.60 : x
  2. Step 2: Convert to fraction form
    5,796.81/8,055.08 = 5,736.60/x
  3. Step 3: Cross multiply
    5,796.81x = 8,055.08 × 5,736.60
  4. Step 4: Simplify right side
    5,796.81x = 46,208,743.25
  5. Step 5: Solve for x
    x = 46,208,743.25/5,796.81
  6. Step 6: Final answer
    x = 7,971.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.