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Finding the Fourth Proportional to 5,614.99, 8,422.50 and 1,719.38

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Solution

The fourth proportional to 5,614.99, 8,422.50 and 1,719.38 is: 2,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.99 : 8,422.50 = 1,719.38 : x
  2. Step 2: Convert to fraction form
    5,614.99/8,422.50 = 1,719.38/x
  3. Step 3: Cross multiply
    5,614.99x = 8,422.50 × 1,719.38
  4. Step 4: Simplify right side
    5,614.99x = 14,481,478.05
  5. Step 5: Solve for x
    x = 14,481,478.05/5,614.99
  6. Step 6: Final answer
    x = 2,579.07

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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.