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Finding the Fourth Proportional to 5,161.66, 7,123.02 and 2,923.49

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Solution

The fourth proportional to 5,161.66, 7,123.02 and 2,923.49 is: 4,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.66 : 7,123.02 = 2,923.49 : x
  2. Step 2: Convert to fraction form
    5,161.66/7,123.02 = 2,923.49/x
  3. Step 3: Cross multiply
    5,161.66x = 7,123.02 × 2,923.49
  4. Step 4: Simplify right side
    5,161.66x = 20,824,077.74
  5. Step 5: Solve for x
    x = 20,824,077.74/5,161.66
  6. Step 6: Final answer
    x = 4,034.38

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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.