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Finding the Fourth Proportional to 5,096.53, 7,652.09 and 3,784.33

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Solution

The fourth proportional to 5,096.53, 7,652.09 and 3,784.33 is: 5,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.53 : 7,652.09 = 3,784.33 : x
  2. Step 2: Convert to fraction form
    5,096.53/7,652.09 = 3,784.33/x
  3. Step 3: Cross multiply
    5,096.53x = 7,652.09 × 3,784.33
  4. Step 4: Simplify right side
    5,096.53x = 28,958,033.75
  5. Step 5: Solve for x
    x = 28,958,033.75/5,096.53
  6. Step 6: Final answer
    x = 5,681.91

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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.