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Finding the Fourth Proportional to 5,953.14, 8,211.42 and 3,825.32

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Solution

The fourth proportional to 5,953.14, 8,211.42 and 3,825.32 is: 5,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.14 : 8,211.42 = 3,825.32 : x
  2. Step 2: Convert to fraction form
    5,953.14/8,211.42 = 3,825.32/x
  3. Step 3: Cross multiply
    5,953.14x = 8,211.42 × 3,825.32
  4. Step 4: Simplify right side
    5,953.14x = 31,411,309.15
  5. Step 5: Solve for x
    x = 31,411,309.15/5,953.14
  6. Step 6: Final answer
    x = 5,276.43

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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.