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Finding the Fourth Proportional to 3,096.70, 4,661.95 and 2,824.54

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Solution

The fourth proportional to 3,096.70, 4,661.95 and 2,824.54 is: 4,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.70 : 4,661.95 = 2,824.54 : x
  2. Step 2: Convert to fraction form
    3,096.70/4,661.95 = 2,824.54/x
  3. Step 3: Cross multiply
    3,096.70x = 4,661.95 × 2,824.54
  4. Step 4: Simplify right side
    3,096.70x = 13,167,864.25
  5. Step 5: Solve for x
    x = 13,167,864.25/3,096.70
  6. Step 6: Final answer
    x = 4,252.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.