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Finding the Fourth Proportional to 5,614.97, 8,422.88 and 1,719.50

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Solution

The fourth proportional to 5,614.97, 8,422.88 and 1,719.50 is: 2,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.97 : 8,422.88 = 1,719.50 : x
  2. Step 2: Convert to fraction form
    5,614.97/8,422.88 = 1,719.50/x
  3. Step 3: Cross multiply
    5,614.97x = 8,422.88 × 1,719.50
  4. Step 4: Simplify right side
    5,614.97x = 14,483,091.45
  5. Step 5: Solve for x
    x = 14,483,091.45/5,614.97
  6. Step 6: Final answer
    x = 2,579.37

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Why These Related Problems?

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