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Finding the Fourth Proportional to 5,455.86, 8,178.71 and 1,990.50

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Solution

The fourth proportional to 5,455.86, 8,178.71 and 1,990.50 is: 2,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.86 : 8,178.71 = 1,990.50 : x
  2. Step 2: Convert to fraction form
    5,455.86/8,178.71 = 1,990.50/x
  3. Step 3: Cross multiply
    5,455.86x = 8,178.71 × 1,990.50
  4. Step 4: Simplify right side
    5,455.86x = 16,279,722.26
  5. Step 5: Solve for x
    x = 16,279,722.26/5,455.86
  6. Step 6: Final answer
    x = 2,983.90

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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.