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Finding the Fourth Proportional to 3,096.53, 4,275.38 and 2,021.63

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Solution

The fourth proportional to 3,096.53, 4,275.38 and 2,021.63 is: 2,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.53 : 4,275.38 = 2,021.63 : x
  2. Step 2: Convert to fraction form
    3,096.53/4,275.38 = 2,021.63/x
  3. Step 3: Cross multiply
    3,096.53x = 4,275.38 × 2,021.63
  4. Step 4: Simplify right side
    3,096.53x = 8,643,256.22
  5. Step 5: Solve for x
    x = 8,643,256.22/3,096.53
  6. Step 6: Final answer
    x = 2,791.27

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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.