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Finding the Fourth Proportional to 5,704.80, 8,564.40 and 3,074.40

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Solution

The fourth proportional to 5,704.80, 8,564.40 and 3,074.40 is: 4,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.80 : 8,564.40 = 3,074.40 : x
  2. Step 2: Convert to fraction form
    5,704.80/8,564.40 = 3,074.40/x
  3. Step 3: Cross multiply
    5,704.80x = 8,564.40 × 3,074.40
  4. Step 4: Simplify right side
    5,704.80x = 26,330,391.36
  5. Step 5: Solve for x
    x = 26,330,391.36/5,704.80
  6. Step 6: Final answer
    x = 4,615.48

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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.