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Finding the Fourth Proportional to 4,783.82, 7,164.39 and 3,047.18

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Solution

The fourth proportional to 4,783.82, 7,164.39 and 3,047.18 is: 4,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.82 : 7,164.39 = 3,047.18 : x
  2. Step 2: Convert to fraction form
    4,783.82/7,164.39 = 3,047.18/x
  3. Step 3: Cross multiply
    4,783.82x = 7,164.39 × 3,047.18
  4. Step 4: Simplify right side
    4,783.82x = 21,831,185.92
  5. Step 5: Solve for x
    x = 21,831,185.92/4,783.82
  6. Step 6: Final answer
    x = 4,563.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.