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Finding the Fourth Proportional to 5,981.88, 8,974.02 and 1,822.20

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Solution

The fourth proportional to 5,981.88, 8,974.02 and 1,822.20 is: 2,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.88 : 8,974.02 = 1,822.20 : x
  2. Step 2: Convert to fraction form
    5,981.88/8,974.02 = 1,822.20/x
  3. Step 3: Cross multiply
    5,981.88x = 8,974.02 × 1,822.20
  4. Step 4: Simplify right side
    5,981.88x = 16,352,459.24
  5. Step 5: Solve for x
    x = 16,352,459.24/5,981.88
  6. Step 6: Final answer
    x = 2,733.67

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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.