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Finding the Fourth Proportional to 4,478.96, 6,717.42 and 1,704.64

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Solution

The fourth proportional to 4,478.96, 6,717.42 and 1,704.64 is: 2,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.96 : 6,717.42 = 1,704.64 : x
  2. Step 2: Convert to fraction form
    4,478.96/6,717.42 = 1,704.64/x
  3. Step 3: Cross multiply
    4,478.96x = 6,717.42 × 1,704.64
  4. Step 4: Simplify right side
    4,478.96x = 11,450,782.83
  5. Step 5: Solve for x
    x = 11,450,782.83/4,478.96
  6. Step 6: Final answer
    x = 2,556.57

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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.