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Finding the Fourth Proportional to 5,617.44, 7,753.82 and 3,628

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Solution

The fourth proportional to 5,617.44, 7,753.82 and 3,628 is: 5,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.44 : 7,753.82 = 3,628 : x
  2. Step 2: Convert to fraction form
    5,617.44/7,753.82 = 3,628/x
  3. Step 3: Cross multiply
    5,617.44x = 7,753.82 × 3,628
  4. Step 4: Simplify right side
    5,617.44x = 28,130,858.96
  5. Step 5: Solve for x
    x = 28,130,858.96/5,617.44
  6. Step 6: Final answer
    x = 5,007.77

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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.