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Finding the Fourth Proportional to 5,394.86, 8,092.80 and 1,499.30

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Solution

The fourth proportional to 5,394.86, 8,092.80 and 1,499.30 is: 2,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.86 : 8,092.80 = 1,499.30 : x
  2. Step 2: Convert to fraction form
    5,394.86/8,092.80 = 1,499.30/x
  3. Step 3: Cross multiply
    5,394.86x = 8,092.80 × 1,499.30
  4. Step 4: Simplify right side
    5,394.86x = 12,133,535.04
  5. Step 5: Solve for x
    x = 12,133,535.04/5,394.86
  6. Step 6: Final answer
    x = 2,249.09

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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.