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Finding the Fourth Proportional to 4,192.70, 5,783.34 and 3,015.34

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Solution

The fourth proportional to 4,192.70, 5,783.34 and 3,015.34 is: 4,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.70 : 5,783.34 = 3,015.34 : x
  2. Step 2: Convert to fraction form
    4,192.70/5,783.34 = 3,015.34/x
  3. Step 3: Cross multiply
    4,192.70x = 5,783.34 × 3,015.34
  4. Step 4: Simplify right side
    4,192.70x = 17,438,736.44
  5. Step 5: Solve for x
    x = 17,438,736.44/4,192.70
  6. Step 6: Final answer
    x = 4,159.31

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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.