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Finding the Fourth Proportional to 5,133.40, 7,694.74 and 3,724.41

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Solution

The fourth proportional to 5,133.40, 7,694.74 and 3,724.41 is: 5,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.40 : 7,694.74 = 3,724.41 : x
  2. Step 2: Convert to fraction form
    5,133.40/7,694.74 = 3,724.41/x
  3. Step 3: Cross multiply
    5,133.40x = 7,694.74 × 3,724.41
  4. Step 4: Simplify right side
    5,133.40x = 28,658,366.60
  5. Step 5: Solve for x
    x = 28,658,366.60/5,133.40
  6. Step 6: Final answer
    x = 5,582.73

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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.