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Finding the Fourth Proportional to 5,024.56, 6,933.94 and 2,786.46

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Solution

The fourth proportional to 5,024.56, 6,933.94 and 2,786.46 is: 3,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.56 : 6,933.94 = 2,786.46 : x
  2. Step 2: Convert to fraction form
    5,024.56/6,933.94 = 2,786.46/x
  3. Step 3: Cross multiply
    5,024.56x = 6,933.94 × 2,786.46
  4. Step 4: Simplify right side
    5,024.56x = 19,321,146.45
  5. Step 5: Solve for x
    x = 19,321,146.45/5,024.56
  6. Step 6: Final answer
    x = 3,845.34

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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.