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Finding the Fourth Proportional to 3,491.27, 4,819.16 and 2,094.02

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Solution

The fourth proportional to 3,491.27, 4,819.16 and 2,094.02 is: 2,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.27 : 4,819.16 = 2,094.02 : x
  2. Step 2: Convert to fraction form
    3,491.27/4,819.16 = 2,094.02/x
  3. Step 3: Cross multiply
    3,491.27x = 4,819.16 × 2,094.02
  4. Step 4: Simplify right side
    3,491.27x = 10,091,416.63
  5. Step 5: Solve for x
    x = 10,091,416.63/3,491.27
  6. Step 6: Final answer
    x = 2,890.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.