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Finding the Fourth Proportional to 3,893.38, 5,374.88 and 2,402.10

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Solution

The fourth proportional to 3,893.38, 5,374.88 and 2,402.10 is: 3,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.38 : 5,374.88 = 2,402.10 : x
  2. Step 2: Convert to fraction form
    3,893.38/5,374.88 = 2,402.10/x
  3. Step 3: Cross multiply
    3,893.38x = 5,374.88 × 2,402.10
  4. Step 4: Simplify right side
    3,893.38x = 12,910,999.25
  5. Step 5: Solve for x
    x = 12,910,999.25/3,893.38
  6. Step 6: Final answer
    x = 3,316.14

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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.