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Finding the Fourth Proportional to 5,941.46, 8,197.79 and 3,788.88

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Solution

The fourth proportional to 5,941.46, 8,197.79 and 3,788.88 is: 5,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.46 : 8,197.79 = 3,788.88 : x
  2. Step 2: Convert to fraction form
    5,941.46/8,197.79 = 3,788.88/x
  3. Step 3: Cross multiply
    5,941.46x = 8,197.79 × 3,788.88
  4. Step 4: Simplify right side
    5,941.46x = 31,060,423.63
  5. Step 5: Solve for x
    x = 31,060,423.63/5,941.46
  6. Step 6: Final answer
    x = 5,227.75

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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.