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Finding the Fourth Proportional to 4,234.01, 5,843.14 and 2,465.78

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Solution

The fourth proportional to 4,234.01, 5,843.14 and 2,465.78 is: 3,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.01 : 5,843.14 = 2,465.78 : x
  2. Step 2: Convert to fraction form
    4,234.01/5,843.14 = 2,465.78/x
  3. Step 3: Cross multiply
    4,234.01x = 5,843.14 × 2,465.78
  4. Step 4: Simplify right side
    4,234.01x = 14,407,862.37
  5. Step 5: Solve for x
    x = 14,407,862.37/4,234.01
  6. Step 6: Final answer
    x = 3,402.89

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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.