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Finding the Fourth Proportional to 5,900.58, 8,142.82 and 3,382.74

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Solution

The fourth proportional to 5,900.58, 8,142.82 and 3,382.74 is: 4,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.58 : 8,142.82 = 3,382.74 : x
  2. Step 2: Convert to fraction form
    5,900.58/8,142.82 = 3,382.74/x
  3. Step 3: Cross multiply
    5,900.58x = 8,142.82 × 3,382.74
  4. Step 4: Simplify right side
    5,900.58x = 27,545,063.28
  5. Step 5: Solve for x
    x = 27,545,063.28/5,900.58
  6. Step 6: Final answer
    x = 4,668.20

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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.