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Finding the Fourth Proportional to 5,849.76, 8,774.52 and 1,467.24

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Solution

The fourth proportional to 5,849.76, 8,774.52 and 1,467.24 is: 2,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.76 : 8,774.52 = 1,467.24 : x
  2. Step 2: Convert to fraction form
    5,849.76/8,774.52 = 1,467.24/x
  3. Step 3: Cross multiply
    5,849.76x = 8,774.52 × 1,467.24
  4. Step 4: Simplify right side
    5,849.76x = 12,874,326.72
  5. Step 5: Solve for x
    x = 12,874,326.72/5,849.76
  6. Step 6: Final answer
    x = 2,200.83

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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.