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Finding the Fourth Proportional to 5,676.52, 8,515.86 and 2,213.50

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Solution

The fourth proportional to 5,676.52, 8,515.86 and 2,213.50 is: 3,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.52 : 8,515.86 = 2,213.50 : x
  2. Step 2: Convert to fraction form
    5,676.52/8,515.86 = 2,213.50/x
  3. Step 3: Cross multiply
    5,676.52x = 8,515.86 × 2,213.50
  4. Step 4: Simplify right side
    5,676.52x = 18,849,856.11
  5. Step 5: Solve for x
    x = 18,849,856.11/5,676.52
  6. Step 6: Final answer
    x = 3,320.67

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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.