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Finding the Fourth Proportional to 5,096.34, 7,644.51 and 3,364.56

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Solution

The fourth proportional to 5,096.34, 7,644.51 and 3,364.56 is: 5,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.34 : 7,644.51 = 3,364.56 : x
  2. Step 2: Convert to fraction form
    5,096.34/7,644.51 = 3,364.56/x
  3. Step 3: Cross multiply
    5,096.34x = 7,644.51 × 3,364.56
  4. Step 4: Simplify right side
    5,096.34x = 25,720,412.57
  5. Step 5: Solve for x
    x = 25,720,412.57/5,096.34
  6. Step 6: Final answer
    x = 5,046.84

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1.5x scale

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.