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Finding the Fourth Proportional to 5,756.94, 7,942.08 and 3,630.79

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Solution

The fourth proportional to 5,756.94, 7,942.08 and 3,630.79 is: 5,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.94 : 7,942.08 = 3,630.79 : x
  2. Step 2: Convert to fraction form
    5,756.94/7,942.08 = 3,630.79/x
  3. Step 3: Cross multiply
    5,756.94x = 7,942.08 × 3,630.79
  4. Step 4: Simplify right side
    5,756.94x = 28,836,024.64
  5. Step 5: Solve for x
    x = 28,836,024.64/5,756.94
  6. Step 6: Final answer
    x = 5,008.92

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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.