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Finding the Fourth Proportional to 5,743.68, 8,615.52 and 3,704.64

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Solution

The fourth proportional to 5,743.68, 8,615.52 and 3,704.64 is: 5,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.68 : 8,615.52 = 3,704.64 : x
  2. Step 2: Convert to fraction form
    5,743.68/8,615.52 = 3,704.64/x
  3. Step 3: Cross multiply
    5,743.68x = 8,615.52 × 3,704.64
  4. Step 4: Simplify right side
    5,743.68x = 31,917,400.01
  5. Step 5: Solve for x
    x = 31,917,400.01/5,743.68
  6. Step 6: Final answer
    x = 5,556.96

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Similar ratio
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1.5x scale

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.