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Finding the Fourth Proportional to 5,582.42, 8,365.82 and 4,194.88

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Solution

The fourth proportional to 5,582.42, 8,365.82 and 4,194.88 is: 6,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.42 : 8,365.82 = 4,194.88 : x
  2. Step 2: Convert to fraction form
    5,582.42/8,365.82 = 4,194.88/x
  3. Step 3: Cross multiply
    5,582.42x = 8,365.82 × 4,194.88
  4. Step 4: Simplify right side
    5,582.42x = 35,093,561.29
  5. Step 5: Solve for x
    x = 35,093,561.29/5,582.42
  6. Step 6: Final answer
    x = 6,286.44

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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.