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Finding the Fourth Proportional to 5,473.26, 8,211.19 and 1,775.50

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Solution

The fourth proportional to 5,473.26, 8,211.19 and 1,775.50 is: 2,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.26 : 8,211.19 = 1,775.50 : x
  2. Step 2: Convert to fraction form
    5,473.26/8,211.19 = 1,775.50/x
  3. Step 3: Cross multiply
    5,473.26x = 8,211.19 × 1,775.50
  4. Step 4: Simplify right side
    5,473.26x = 14,578,951.76
  5. Step 5: Solve for x
    x = 14,578,951.76/5,473.26
  6. Step 6: Final answer
    x = 2,663.67

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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.