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Finding the Fourth Proportional to 2,967.94, 4,094.26 and 2,756.87

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Solution

The fourth proportional to 2,967.94, 4,094.26 and 2,756.87 is: 3,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.94 : 4,094.26 = 2,756.87 : x
  2. Step 2: Convert to fraction form
    2,967.94/4,094.26 = 2,756.87/x
  3. Step 3: Cross multiply
    2,967.94x = 4,094.26 × 2,756.87
  4. Step 4: Simplify right side
    2,967.94x = 11,287,342.57
  5. Step 5: Solve for x
    x = 11,287,342.57/2,967.94
  6. Step 6: Final answer
    x = 3,803.09

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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.