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Finding the Fourth Proportional to 5,596.18, 7,722.26 and 3,078.16

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Solution

The fourth proportional to 5,596.18, 7,722.26 and 3,078.16 is: 4,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.18 : 7,722.26 = 3,078.16 : x
  2. Step 2: Convert to fraction form
    5,596.18/7,722.26 = 3,078.16/x
  3. Step 3: Cross multiply
    5,596.18x = 7,722.26 × 3,078.16
  4. Step 4: Simplify right side
    5,596.18x = 23,770,351.84
  5. Step 5: Solve for x
    x = 23,770,351.84/5,596.18
  6. Step 6: Final answer
    x = 4,247.60

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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.