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Finding the Fourth Proportional to 5,736.36, 7,918.80 and 4,409.60

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Solution

The fourth proportional to 5,736.36, 7,918.80 and 4,409.60 is: 6,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.36 : 7,918.80 = 4,409.60 : x
  2. Step 2: Convert to fraction form
    5,736.36/7,918.80 = 4,409.60/x
  3. Step 3: Cross multiply
    5,736.36x = 7,918.80 × 4,409.60
  4. Step 4: Simplify right side
    5,736.36x = 34,918,740.48
  5. Step 5: Solve for x
    x = 34,918,740.48/5,736.36
  6. Step 6: Final answer
    x = 6,087.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.