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Finding the Fourth Proportional to 5,950.72, 8,213.14 and 3,434.46

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Solution

The fourth proportional to 5,950.72, 8,213.14 and 3,434.46 is: 4,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.72 : 8,213.14 = 3,434.46 : x
  2. Step 2: Convert to fraction form
    5,950.72/8,213.14 = 3,434.46/x
  3. Step 3: Cross multiply
    5,950.72x = 8,213.14 × 3,434.46
  4. Step 4: Simplify right side
    5,950.72x = 28,207,700.80
  5. Step 5: Solve for x
    x = 28,207,700.80/5,950.72
  6. Step 6: Final answer
    x = 4,740.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.