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Finding the Fourth Proportional to 6,449.28, 8,901.21 and 4,213.05

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Solution

The fourth proportional to 6,449.28, 8,901.21 and 4,213.05 is: 5,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.28 : 8,901.21 = 4,213.05 : x
  2. Step 2: Convert to fraction form
    6,449.28/8,901.21 = 4,213.05/x
  3. Step 3: Cross multiply
    6,449.28x = 8,901.21 × 4,213.05
  4. Step 4: Simplify right side
    6,449.28x = 37,501,242.79
  5. Step 5: Solve for x
    x = 37,501,242.79/6,449.28
  6. Step 6: Final answer
    x = 5,814.80

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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.