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Finding the Fourth Proportional to 4,704.02, 7,056.07 and 3,825.50

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Solution

The fourth proportional to 4,704.02, 7,056.07 and 3,825.50 is: 5,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.02 : 7,056.07 = 3,825.50 : x
  2. Step 2: Convert to fraction form
    4,704.02/7,056.07 = 3,825.50/x
  3. Step 3: Cross multiply
    4,704.02x = 7,056.07 × 3,825.50
  4. Step 4: Simplify right side
    4,704.02x = 26,992,995.79
  5. Step 5: Solve for x
    x = 26,992,995.79/4,704.02
  6. Step 6: Final answer
    x = 5,738.28

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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.