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Finding the Fourth Proportional to 5,950.64, 8,939.63 and 4,199.67

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Solution

The fourth proportional to 5,950.64, 8,939.63 and 4,199.67 is: 6,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.64 : 8,939.63 = 4,199.67 : x
  2. Step 2: Convert to fraction form
    5,950.64/8,939.63 = 4,199.67/x
  3. Step 3: Cross multiply
    5,950.64x = 8,939.63 × 4,199.67
  4. Step 4: Simplify right side
    5,950.64x = 37,543,506.42
  5. Step 5: Solve for x
    x = 37,543,506.42/5,950.64
  6. Step 6: Final answer
    x = 6,309.15

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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.