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Finding the Fourth Proportional to 4,234.81, 5,840.22 and 2,741.17

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Solution

The fourth proportional to 4,234.81, 5,840.22 and 2,741.17 is: 3,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.81 : 5,840.22 = 2,741.17 : x
  2. Step 2: Convert to fraction form
    4,234.81/5,840.22 = 2,741.17/x
  3. Step 3: Cross multiply
    4,234.81x = 5,840.22 × 2,741.17
  4. Step 4: Simplify right side
    4,234.81x = 16,009,006.66
  5. Step 5: Solve for x
    x = 16,009,006.66/4,234.81
  6. Step 6: Final answer
    x = 3,780.34

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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.