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Finding the Fourth Proportional to 3,644.76, 5,031.30 and 2,596.56

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Solution

The fourth proportional to 3,644.76, 5,031.30 and 2,596.56 is: 3,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.76 : 5,031.30 = 2,596.56 : x
  2. Step 2: Convert to fraction form
    3,644.76/5,031.30 = 2,596.56/x
  3. Step 3: Cross multiply
    3,644.76x = 5,031.30 × 2,596.56
  4. Step 4: Simplify right side
    3,644.76x = 13,064,072.33
  5. Step 5: Solve for x
    x = 13,064,072.33/3,644.76
  6. Step 6: Final answer
    x = 3,584.34

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