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Finding the Fourth Proportional to 4,977.24, 7,453.92 and 2,892.84

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Solution

The fourth proportional to 4,977.24, 7,453.92 and 2,892.84 is: 4,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.24 : 7,453.92 = 2,892.84 : x
  2. Step 2: Convert to fraction form
    4,977.24/7,453.92 = 2,892.84/x
  3. Step 3: Cross multiply
    4,977.24x = 7,453.92 × 2,892.84
  4. Step 4: Simplify right side
    4,977.24x = 21,562,997.93
  5. Step 5: Solve for x
    x = 21,562,997.93/4,977.24
  6. Step 6: Final answer
    x = 4,332.32

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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.