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Finding the Fourth Proportional to 5,739.42, 8,608.14 and 1,578.44

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Solution

The fourth proportional to 5,739.42, 8,608.14 and 1,578.44 is: 2,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.42 : 8,608.14 = 1,578.44 : x
  2. Step 2: Convert to fraction form
    5,739.42/8,608.14 = 1,578.44/x
  3. Step 3: Cross multiply
    5,739.42x = 8,608.14 × 1,578.44
  4. Step 4: Simplify right side
    5,739.42x = 13,587,432.50
  5. Step 5: Solve for x
    x = 13,587,432.50/5,739.42
  6. Step 6: Final answer
    x = 2,367.39

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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.