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Finding the Fourth Proportional to 3,355.14, 4,616.52 and 3,269.28

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Solution

The fourth proportional to 3,355.14, 4,616.52 and 3,269.28 is: 4,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.14 : 4,616.52 = 3,269.28 : x
  2. Step 2: Convert to fraction form
    3,355.14/4,616.52 = 3,269.28/x
  3. Step 3: Cross multiply
    3,355.14x = 4,616.52 × 3,269.28
  4. Step 4: Simplify right side
    3,355.14x = 15,092,696.51
  5. Step 5: Solve for x
    x = 15,092,696.51/3,355.14
  6. Step 6: Final answer
    x = 4,498.38

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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.