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Finding the Fourth Proportional to 5,845.96, 8,768.84 and 1,685.80

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Solution

The fourth proportional to 5,845.96, 8,768.84 and 1,685.80 is: 2,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.96 : 8,768.84 = 1,685.80 : x
  2. Step 2: Convert to fraction form
    5,845.96/8,768.84 = 1,685.80/x
  3. Step 3: Cross multiply
    5,845.96x = 8,768.84 × 1,685.80
  4. Step 4: Simplify right side
    5,845.96x = 14,782,510.47
  5. Step 5: Solve for x
    x = 14,782,510.47/5,845.96
  6. Step 6: Final answer
    x = 2,528.67

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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.