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Finding the Fourth Proportional to 5,158.50, 7,112.07 and 4,213.29

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Solution

The fourth proportional to 5,158.50, 7,112.07 and 4,213.29 is: 5,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.50 : 7,112.07 = 4,213.29 : x
  2. Step 2: Convert to fraction form
    5,158.50/7,112.07 = 4,213.29/x
  3. Step 3: Cross multiply
    5,158.50x = 7,112.07 × 4,213.29
  4. Step 4: Simplify right side
    5,158.50x = 29,965,213.41
  5. Step 5: Solve for x
    x = 29,965,213.41/5,158.50
  6. Step 6: Final answer
    x = 5,808.90

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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.