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Finding the Fourth Proportional to 5,582.35, 8,365.71 and 4,194.80

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Solution

The fourth proportional to 5,582.35, 8,365.71 and 4,194.80 is: 6,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.35 : 8,365.71 = 4,194.80 : x
  2. Step 2: Convert to fraction form
    5,582.35/8,365.71 = 4,194.80/x
  3. Step 3: Cross multiply
    5,582.35x = 8,365.71 × 4,194.80
  4. Step 4: Simplify right side
    5,582.35x = 35,092,520.84
  5. Step 5: Solve for x
    x = 35,092,520.84/5,582.35
  6. Step 6: Final answer
    x = 6,286.33

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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.