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Finding the Fourth Proportional to 4,232.30, 5,840.98 and 2,343.98

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Solution

The fourth proportional to 4,232.30, 5,840.98 and 2,343.98 is: 3,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.30 : 5,840.98 = 2,343.98 : x
  2. Step 2: Convert to fraction form
    4,232.30/5,840.98 = 2,343.98/x
  3. Step 3: Cross multiply
    4,232.30x = 5,840.98 × 2,343.98
  4. Step 4: Simplify right side
    4,232.30x = 13,691,149.04
  5. Step 5: Solve for x
    x = 13,691,149.04/4,232.30
  6. Step 6: Final answer
    x = 3,234.92

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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.