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Finding the Fourth Proportional to 4,800.62, 7,196.70 and 1,876.88

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Solution

The fourth proportional to 4,800.62, 7,196.70 and 1,876.88 is: 2,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.62 : 7,196.70 = 1,876.88 : x
  2. Step 2: Convert to fraction form
    4,800.62/7,196.70 = 1,876.88/x
  3. Step 3: Cross multiply
    4,800.62x = 7,196.70 × 1,876.88
  4. Step 4: Simplify right side
    4,800.62x = 13,507,342.30
  5. Step 5: Solve for x
    x = 13,507,342.30/4,800.62
  6. Step 6: Final answer
    x = 2,813.67

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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.