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Finding the Fourth Proportional to 5,825.93, 8,742.53 and 3,879.50

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Solution

The fourth proportional to 5,825.93, 8,742.53 and 3,879.50 is: 5,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.93 : 8,742.53 = 3,879.50 : x
  2. Step 2: Convert to fraction form
    5,825.93/8,742.53 = 3,879.50/x
  3. Step 3: Cross multiply
    5,825.93x = 8,742.53 × 3,879.50
  4. Step 4: Simplify right side
    5,825.93x = 33,916,611.12
  5. Step 5: Solve for x
    x = 33,916,611.12/5,825.93
  6. Step 6: Final answer
    x = 5,821.67

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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.