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Finding the Fourth Proportional to 5,582.82, 7,704.48 and 3,768.30

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Solution

The fourth proportional to 5,582.82, 7,704.48 and 3,768.30 is: 5,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.82 : 7,704.48 = 3,768.30 : x
  2. Step 2: Convert to fraction form
    5,582.82/7,704.48 = 3,768.30/x
  3. Step 3: Cross multiply
    5,582.82x = 7,704.48 × 3,768.30
  4. Step 4: Simplify right side
    5,582.82x = 29,032,791.98
  5. Step 5: Solve for x
    x = 29,032,791.98/5,582.82
  6. Step 6: Final answer
    x = 5,200.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.