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Finding the Fourth Proportional to 3,388.69, 5,084.48 and 1,746.37

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Solution

The fourth proportional to 3,388.69, 5,084.48 and 1,746.37 is: 2,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.69 : 5,084.48 = 1,746.37 : x
  2. Step 2: Convert to fraction form
    3,388.69/5,084.48 = 1,746.37/x
  3. Step 3: Cross multiply
    3,388.69x = 5,084.48 × 1,746.37
  4. Step 4: Simplify right side
    3,388.69x = 8,879,383.34
  5. Step 5: Solve for x
    x = 8,879,383.34/3,388.69
  6. Step 6: Final answer
    x = 2,620.30

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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.