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Finding the Fourth Proportional to 4,796.91, 7,196.33 and 2,023.57

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Solution

The fourth proportional to 4,796.91, 7,196.33 and 2,023.57 is: 3,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.91 : 7,196.33 = 2,023.57 : x
  2. Step 2: Convert to fraction form
    4,796.91/7,196.33 = 2,023.57/x
  3. Step 3: Cross multiply
    4,796.91x = 7,196.33 × 2,023.57
  4. Step 4: Simplify right side
    4,796.91x = 14,562,277.50
  5. Step 5: Solve for x
    x = 14,562,277.50/4,796.91
  6. Step 6: Final answer
    x = 3,035.76

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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.