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Finding the Fourth Proportional to 8,798.94, 13,198.23 and 2,558.70

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Solution

The fourth proportional to 8,798.94, 13,198.23 and 2,558.70 is: 3,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,798.94 : 13,198.23 = 2,558.70 : x
  2. Step 2: Convert to fraction form
    8,798.94/13,198.23 = 2,558.70/x
  3. Step 3: Cross multiply
    8,798.94x = 13,198.23 × 2,558.70
  4. Step 4: Simplify right side
    8,798.94x = 33,770,311.10
  5. Step 5: Solve for x
    x = 33,770,311.10/8,798.94
  6. Step 6: Final answer
    x = 3,838.00

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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.