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Finding the Fourth Proportional to 5,537.79, 7,644 and 3,300.37

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Solution

The fourth proportional to 5,537.79, 7,644 and 3,300.37 is: 4,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.79 : 7,644 = 3,300.37 : x
  2. Step 2: Convert to fraction form
    5,537.79/7,644 = 3,300.37/x
  3. Step 3: Cross multiply
    5,537.79x = 7,644 × 3,300.37
  4. Step 4: Simplify right side
    5,537.79x = 25,228,028.28
  5. Step 5: Solve for x
    x = 25,228,028.28/5,537.79
  6. Step 6: Final answer
    x = 4,555.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.