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Finding the Fourth Proportional to 5,770.40, 8,657.20 and 3,826.40

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Solution

The fourth proportional to 5,770.40, 8,657.20 and 3,826.40 is: 5,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.40 : 8,657.20 = 3,826.40 : x
  2. Step 2: Convert to fraction form
    5,770.40/8,657.20 = 3,826.40/x
  3. Step 3: Cross multiply
    5,770.40x = 8,657.20 × 3,826.40
  4. Step 4: Simplify right side
    5,770.40x = 33,125,910.08
  5. Step 5: Solve for x
    x = 33,125,910.08/5,770.40
  6. Step 6: Final answer
    x = 5,740.66

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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.