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Finding the Fourth Proportional to 5,820.54, 8,014.86 and 5,213.67

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Solution

The fourth proportional to 5,820.54, 8,014.86 and 5,213.67 is: 7,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.54 : 8,014.86 = 5,213.67 : x
  2. Step 2: Convert to fraction form
    5,820.54/8,014.86 = 5,213.67/x
  3. Step 3: Cross multiply
    5,820.54x = 8,014.86 × 5,213.67
  4. Step 4: Simplify right side
    5,820.54x = 41,786,835.14
  5. Step 5: Solve for x
    x = 41,786,835.14/5,820.54
  6. Step 6: Final answer
    x = 7,179.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.