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Finding the Fourth Proportional to 5,122.56, 7,673.28 and 4,143.36

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Solution

The fourth proportional to 5,122.56, 7,673.28 and 4,143.36 is: 6,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.56 : 7,673.28 = 4,143.36 : x
  2. Step 2: Convert to fraction form
    5,122.56/7,673.28 = 4,143.36/x
  3. Step 3: Cross multiply
    5,122.56x = 7,673.28 × 4,143.36
  4. Step 4: Simplify right side
    5,122.56x = 31,793,161.42
  5. Step 5: Solve for x
    x = 31,793,161.42/5,122.56
  6. Step 6: Final answer
    x = 6,206.50

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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.