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Finding the Fourth Proportional to 4,213.42, 5,814.57 and 2,350.42

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Solution

The fourth proportional to 4,213.42, 5,814.57 and 2,350.42 is: 3,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.42 : 5,814.57 = 2,350.42 : x
  2. Step 2: Convert to fraction form
    4,213.42/5,814.57 = 2,350.42/x
  3. Step 3: Cross multiply
    4,213.42x = 5,814.57 × 2,350.42
  4. Step 4: Simplify right side
    4,213.42x = 13,666,681.62
  5. Step 5: Solve for x
    x = 13,666,681.62/4,213.42
  6. Step 6: Final answer
    x = 3,243.61

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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.