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Finding the Fourth Proportional to 5,131.94, 7,698.42 and 1,846.31

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Solution

The fourth proportional to 5,131.94, 7,698.42 and 1,846.31 is: 2,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.94 : 7,698.42 = 1,846.31 : x
  2. Step 2: Convert to fraction form
    5,131.94/7,698.42 = 1,846.31/x
  3. Step 3: Cross multiply
    5,131.94x = 7,698.42 × 1,846.31
  4. Step 4: Simplify right side
    5,131.94x = 14,213,631.34
  5. Step 5: Solve for x
    x = 14,213,631.34/5,131.94
  6. Step 6: Final answer
    x = 2,769.64

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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.