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Finding the Fourth Proportional to 4,596.59, 6,889.41 and 2,644.76

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Solution

The fourth proportional to 4,596.59, 6,889.41 and 2,644.76 is: 3,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.59 : 6,889.41 = 2,644.76 : x
  2. Step 2: Convert to fraction form
    4,596.59/6,889.41 = 2,644.76/x
  3. Step 3: Cross multiply
    4,596.59x = 6,889.41 × 2,644.76
  4. Step 4: Simplify right side
    4,596.59x = 18,220,801.54
  5. Step 5: Solve for x
    x = 18,220,801.54/4,596.59
  6. Step 6: Final answer
    x = 3,963.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.