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Finding the Fourth Proportional to 5,454.68, 8,179.59 and 1,989.50

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Solution

The fourth proportional to 5,454.68, 8,179.59 and 1,989.50 is: 2,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.68 : 8,179.59 = 1,989.50 : x
  2. Step 2: Convert to fraction form
    5,454.68/8,179.59 = 1,989.50/x
  3. Step 3: Cross multiply
    5,454.68x = 8,179.59 × 1,989.50
  4. Step 4: Simplify right side
    5,454.68x = 16,273,294.31
  5. Step 5: Solve for x
    x = 16,273,294.31/5,454.68
  6. Step 6: Final answer
    x = 2,983.36

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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.