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Finding the Fourth Proportional to 5,409.14, 8,142.41 and 3,859.88

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Solution

The fourth proportional to 5,409.14, 8,142.41 and 3,859.88 is: 5,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.14 : 8,142.41 = 3,859.88 : x
  2. Step 2: Convert to fraction form
    5,409.14/8,142.41 = 3,859.88/x
  3. Step 3: Cross multiply
    5,409.14x = 8,142.41 × 3,859.88
  4. Step 4: Simplify right side
    5,409.14x = 31,428,665.50
  5. Step 5: Solve for x
    x = 31,428,665.50/5,409.14
  6. Step 6: Final answer
    x = 5,810.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.