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Finding the Fourth Proportional to 5,006.52, 7,509.80 and 2,786.72

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Solution

The fourth proportional to 5,006.52, 7,509.80 and 2,786.72 is: 4,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.52 : 7,509.80 = 2,786.72 : x
  2. Step 2: Convert to fraction form
    5,006.52/7,509.80 = 2,786.72/x
  3. Step 3: Cross multiply
    5,006.52x = 7,509.80 × 2,786.72
  4. Step 4: Simplify right side
    5,006.52x = 20,927,709.86
  5. Step 5: Solve for x
    x = 20,927,709.86/5,006.52
  6. Step 6: Final answer
    x = 4,180.09

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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.