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Finding the Fourth Proportional to 5,339.80, 8,007.30 and 2,051.80

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Solution

The fourth proportional to 5,339.80, 8,007.30 and 2,051.80 is: 3,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.80 : 8,007.30 = 2,051.80 : x
  2. Step 2: Convert to fraction form
    5,339.80/8,007.30 = 2,051.80/x
  3. Step 3: Cross multiply
    5,339.80x = 8,007.30 × 2,051.80
  4. Step 4: Simplify right side
    5,339.80x = 16,429,378.14
  5. Step 5: Solve for x
    x = 16,429,378.14/5,339.80
  6. Step 6: Final answer
    x = 3,076.78

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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.