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Finding the Fourth Proportional to 5,537.28, 7,639.04 and 3,328

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Solution

The fourth proportional to 5,537.28, 7,639.04 and 3,328 is: 4,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.28 : 7,639.04 = 3,328 : x
  2. Step 2: Convert to fraction form
    5,537.28/7,639.04 = 3,328/x
  3. Step 3: Cross multiply
    5,537.28x = 7,639.04 × 3,328
  4. Step 4: Simplify right side
    5,537.28x = 25,422,725.12
  5. Step 5: Solve for x
    x = 25,422,725.12/5,537.28
  6. Step 6: Final answer
    x = 4,591.19

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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.