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Finding the Fourth Proportional to 5,743.36, 7,928.46 and 4,416.60

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Solution

The fourth proportional to 5,743.36, 7,928.46 and 4,416.60 is: 6,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.36 : 7,928.46 = 4,416.60 : x
  2. Step 2: Convert to fraction form
    5,743.36/7,928.46 = 4,416.60/x
  3. Step 3: Cross multiply
    5,743.36x = 7,928.46 × 4,416.60
  4. Step 4: Simplify right side
    5,743.36x = 35,016,836.44
  5. Step 5: Solve for x
    x = 35,016,836.44/5,743.36
  6. Step 6: Final answer
    x = 6,096.93

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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.