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Finding the Fourth Proportional to 2,996.74, 4,495.02 and 2,816.38

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Solution

The fourth proportional to 2,996.74, 4,495.02 and 2,816.38 is: 4,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.74 : 4,495.02 = 2,816.38 : x
  2. Step 2: Convert to fraction form
    2,996.74/4,495.02 = 2,816.38/x
  3. Step 3: Cross multiply
    2,996.74x = 4,495.02 × 2,816.38
  4. Step 4: Simplify right side
    2,996.74x = 12,659,684.43
  5. Step 5: Solve for x
    x = 12,659,684.43/2,996.74
  6. Step 6: Final answer
    x = 4,224.49

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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.