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Finding the Fourth Proportional to 5,498.80, 8,244.04 and 1,798.80

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Solution

The fourth proportional to 5,498.80, 8,244.04 and 1,798.80 is: 2,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.80 : 8,244.04 = 1,798.80 : x
  2. Step 2: Convert to fraction form
    5,498.80/8,244.04 = 1,798.80/x
  3. Step 3: Cross multiply
    5,498.80x = 8,244.04 × 1,798.80
  4. Step 4: Simplify right side
    5,498.80x = 14,829,379.15
  5. Step 5: Solve for x
    x = 14,829,379.15/5,498.80
  6. Step 6: Final answer
    x = 2,696.84

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1.5x scale

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.