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Finding the Fourth Proportional to 3,096.39, 4,644.50 and 756.41

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Solution

The fourth proportional to 3,096.39, 4,644.50 and 756.41 is: 1,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.39 : 4,644.50 = 756.41 : x
  2. Step 2: Convert to fraction form
    3,096.39/4,644.50 = 756.41/x
  3. Step 3: Cross multiply
    3,096.39x = 4,644.50 × 756.41
  4. Step 4: Simplify right side
    3,096.39x = 3,513,123.02
  5. Step 5: Solve for x
    x = 3,513,123.02/3,096.39
  6. Step 6: Final answer
    x = 1,134.59

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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.