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Finding the Fourth Proportional to 5,648.49, 8,473.87 and 1,950.86

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Solution

The fourth proportional to 5,648.49, 8,473.87 and 1,950.86 is: 2,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.49 : 8,473.87 = 1,950.86 : x
  2. Step 2: Convert to fraction form
    5,648.49/8,473.87 = 1,950.86/x
  3. Step 3: Cross multiply
    5,648.49x = 8,473.87 × 1,950.86
  4. Step 4: Simplify right side
    5,648.49x = 16,531,291.66
  5. Step 5: Solve for x
    x = 16,531,291.66/5,648.49
  6. Step 6: Final answer
    x = 2,926.67

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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.