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Finding the Fourth Proportional to 3,423.71, 4,721.90 and 2,096.46

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Solution

The fourth proportional to 3,423.71, 4,721.90 and 2,096.46 is: 2,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.71 : 4,721.90 = 2,096.46 : x
  2. Step 2: Convert to fraction form
    3,423.71/4,721.90 = 2,096.46/x
  3. Step 3: Cross multiply
    3,423.71x = 4,721.90 × 2,096.46
  4. Step 4: Simplify right side
    3,423.71x = 9,899,263.99
  5. Step 5: Solve for x
    x = 9,899,263.99/3,423.71
  6. Step 6: Final answer
    x = 2,891.39

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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.