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Finding the Fourth Proportional to 3,670.65, 5,063.37 and 2,342.85

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Solution

The fourth proportional to 3,670.65, 5,063.37 and 2,342.85 is: 3,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.65 : 5,063.37 = 2,342.85 : x
  2. Step 2: Convert to fraction form
    3,670.65/5,063.37 = 2,342.85/x
  3. Step 3: Cross multiply
    3,670.65x = 5,063.37 × 2,342.85
  4. Step 4: Simplify right side
    3,670.65x = 11,862,738.32
  5. Step 5: Solve for x
    x = 11,862,738.32/3,670.65
  6. Step 6: Final answer
    x = 3,231.78

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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.