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Finding the Fourth Proportional to 5,794.86, 8,692.31 and 4,071.18

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Solution

The fourth proportional to 5,794.86, 8,692.31 and 4,071.18 is: 6,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.86 : 8,692.31 = 4,071.18 : x
  2. Step 2: Convert to fraction form
    5,794.86/8,692.31 = 4,071.18/x
  3. Step 3: Cross multiply
    5,794.86x = 8,692.31 × 4,071.18
  4. Step 4: Simplify right side
    5,794.86x = 35,387,958.63
  5. Step 5: Solve for x
    x = 35,387,958.63/5,794.86
  6. Step 6: Final answer
    x = 6,106.78

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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.