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Finding the Fourth Proportional to 5,498.42, 8,243.98 and 1,799.36

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Solution

The fourth proportional to 5,498.42, 8,243.98 and 1,799.36 is: 2,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.42 : 8,243.98 = 1,799.36 : x
  2. Step 2: Convert to fraction form
    5,498.42/8,243.98 = 1,799.36/x
  3. Step 3: Cross multiply
    5,498.42x = 8,243.98 × 1,799.36
  4. Step 4: Simplify right side
    5,498.42x = 14,833,887.85
  5. Step 5: Solve for x
    x = 14,833,887.85/5,498.42
  6. Step 6: Final answer
    x = 2,697.85

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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.