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Finding the Fourth Proportional to 3,991.36, 5,507.64 and 2,312.80

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Solution

The fourth proportional to 3,991.36, 5,507.64 and 2,312.80 is: 3,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.36 : 5,507.64 = 2,312.80 : x
  2. Step 2: Convert to fraction form
    3,991.36/5,507.64 = 2,312.80/x
  3. Step 3: Cross multiply
    3,991.36x = 5,507.64 × 2,312.80
  4. Step 4: Simplify right side
    3,991.36x = 12,738,069.79
  5. Step 5: Solve for x
    x = 12,738,069.79/3,991.36
  6. Step 6: Final answer
    x = 3,191.41

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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.