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Finding the Fourth Proportional to 4,752.52, 7,129.02 and 1,467.86

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Solution

The fourth proportional to 4,752.52, 7,129.02 and 1,467.86 is: 2,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.52 : 7,129.02 = 1,467.86 : x
  2. Step 2: Convert to fraction form
    4,752.52/7,129.02 = 1,467.86/x
  3. Step 3: Cross multiply
    4,752.52x = 7,129.02 × 1,467.86
  4. Step 4: Simplify right side
    4,752.52x = 10,464,403.30
  5. Step 5: Solve for x
    x = 10,464,403.30/4,752.52
  6. Step 6: Final answer
    x = 2,201.86

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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.