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Finding the Fourth Proportional to 3,364.16, 5,034.24 and 2,936

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Solution

The fourth proportional to 3,364.16, 5,034.24 and 2,936 is: 4,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.16 : 5,034.24 = 2,936 : x
  2. Step 2: Convert to fraction form
    3,364.16/5,034.24 = 2,936/x
  3. Step 3: Cross multiply
    3,364.16x = 5,034.24 × 2,936
  4. Step 4: Simplify right side
    3,364.16x = 14,780,528.64
  5. Step 5: Solve for x
    x = 14,780,528.64/3,364.16
  6. Step 6: Final answer
    x = 4,393.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.