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Finding the Fourth Proportional to 4,299.81, 5,889.24 and 4,047.63

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Solution

The fourth proportional to 4,299.81, 5,889.24 and 4,047.63 is: 5,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.81 : 5,889.24 = 4,047.63 : x
  2. Step 2: Convert to fraction form
    4,299.81/5,889.24 = 4,047.63/x
  3. Step 3: Cross multiply
    4,299.81x = 5,889.24 × 4,047.63
  4. Step 4: Simplify right side
    4,299.81x = 23,837,464.50
  5. Step 5: Solve for x
    x = 23,837,464.50/4,299.81
  6. Step 6: Final answer
    x = 5,543.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.