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Finding the Fourth Proportional to 5,395.10, 8,092.77 and 1,499.48

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Solution

The fourth proportional to 5,395.10, 8,092.77 and 1,499.48 is: 2,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.10 : 8,092.77 = 1,499.48 : x
  2. Step 2: Convert to fraction form
    5,395.10/8,092.77 = 1,499.48/x
  3. Step 3: Cross multiply
    5,395.10x = 8,092.77 × 1,499.48
  4. Step 4: Simplify right side
    5,395.10x = 12,134,946.76
  5. Step 5: Solve for x
    x = 12,134,946.76/5,395.10
  6. Step 6: Final answer
    x = 2,249.25

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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.