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Finding the Fourth Proportional to 4,558.78, 6,838.17 and 1,096.03

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Solution

The fourth proportional to 4,558.78, 6,838.17 and 1,096.03 is: 1,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.78 : 6,838.17 = 1,096.03 : x
  2. Step 2: Convert to fraction form
    4,558.78/6,838.17 = 1,096.03/x
  3. Step 3: Cross multiply
    4,558.78x = 6,838.17 × 1,096.03
  4. Step 4: Simplify right side
    4,558.78x = 7,494,850.07
  5. Step 5: Solve for x
    x = 7,494,850.07/4,558.78
  6. Step 6: Final answer
    x = 1,644.05

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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.