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Finding the Fourth Proportional to 5,700.38, 8,549.25 and 2,189.23

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Solution

The fourth proportional to 5,700.38, 8,549.25 and 2,189.23 is: 3,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.38 : 8,549.25 = 2,189.23 : x
  2. Step 2: Convert to fraction form
    5,700.38/8,549.25 = 2,189.23/x
  3. Step 3: Cross multiply
    5,700.38x = 8,549.25 × 2,189.23
  4. Step 4: Simplify right side
    5,700.38x = 18,716,244.99
  5. Step 5: Solve for x
    x = 18,716,244.99/5,700.38
  6. Step 6: Final answer
    x = 3,283.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.