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Finding the Fourth Proportional to 4,824.75, 7,237.79 and 1,704.03

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Solution

The fourth proportional to 4,824.75, 7,237.79 and 1,704.03 is: 2,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.75 : 7,237.79 = 1,704.03 : x
  2. Step 2: Convert to fraction form
    4,824.75/7,237.79 = 1,704.03/x
  3. Step 3: Cross multiply
    4,824.75x = 7,237.79 × 1,704.03
  4. Step 4: Simplify right side
    4,824.75x = 12,333,411.29
  5. Step 5: Solve for x
    x = 12,333,411.29/4,824.75
  6. Step 6: Final answer
    x = 2,556.28

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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.