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Finding the Fourth Proportional to 5,535.05, 7,638.39 and 3,177

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Solution

The fourth proportional to 5,535.05, 7,638.39 and 3,177 is: 4,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.05 : 7,638.39 = 3,177 : x
  2. Step 2: Convert to fraction form
    5,535.05/7,638.39 = 3,177/x
  3. Step 3: Cross multiply
    5,535.05x = 7,638.39 × 3,177
  4. Step 4: Simplify right side
    5,535.05x = 24,267,165.03
  5. Step 5: Solve for x
    x = 24,267,165.03/5,535.05
  6. Step 6: Final answer
    x = 4,384.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.