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Finding the Fourth Proportional to 4,189.75, 5,783.06 and 3,356.26

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Solution

The fourth proportional to 4,189.75, 5,783.06 and 3,356.26 is: 4,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.75 : 5,783.06 = 3,356.26 : x
  2. Step 2: Convert to fraction form
    4,189.75/5,783.06 = 3,356.26/x
  3. Step 3: Cross multiply
    4,189.75x = 5,783.06 × 3,356.26
  4. Step 4: Simplify right side
    4,189.75x = 19,409,452.96
  5. Step 5: Solve for x
    x = 19,409,452.96/4,189.75
  6. Step 6: Final answer
    x = 4,632.60

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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.