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Finding the Fourth Proportional to 3,546.69, 4,893.62 and 2,129.90

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Solution

The fourth proportional to 3,546.69, 4,893.62 and 2,129.90 is: 2,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.69 : 4,893.62 = 2,129.90 : x
  2. Step 2: Convert to fraction form
    3,546.69/4,893.62 = 2,129.90/x
  3. Step 3: Cross multiply
    3,546.69x = 4,893.62 × 2,129.90
  4. Step 4: Simplify right side
    3,546.69x = 10,422,886.12
  5. Step 5: Solve for x
    x = 10,422,886.12/3,546.69
  6. Step 6: Final answer
    x = 2,938.77

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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.