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Finding the Fourth Proportional to 4,822.76, 7,235.24 and 1,744.76

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Solution

The fourth proportional to 4,822.76, 7,235.24 and 1,744.76 is: 2,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.76 : 7,235.24 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    4,822.76/7,235.24 = 1,744.76/x
  3. Step 3: Cross multiply
    4,822.76x = 7,235.24 × 1,744.76
  4. Step 4: Simplify right side
    4,822.76x = 12,623,757.34
  5. Step 5: Solve for x
    x = 12,623,757.34/4,822.76
  6. Step 6: Final answer
    x = 2,617.54

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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.