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Finding the Fourth Proportional to 4,229.96, 5,837.04 and 2,341.35

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Solution

The fourth proportional to 4,229.96, 5,837.04 and 2,341.35 is: 3,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.96 : 5,837.04 = 2,341.35 : x
  2. Step 2: Convert to fraction form
    4,229.96/5,837.04 = 2,341.35/x
  3. Step 3: Cross multiply
    4,229.96x = 5,837.04 × 2,341.35
  4. Step 4: Simplify right side
    4,229.96x = 13,666,553.60
  5. Step 5: Solve for x
    x = 13,666,553.60/4,229.96
  6. Step 6: Final answer
    x = 3,230.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.