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Finding the Fourth Proportional to 4,178.63, 5,766.50 and 2,315.63

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Solution

The fourth proportional to 4,178.63, 5,766.50 and 2,315.63 is: 3,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.63 : 5,766.50 = 2,315.63 : x
  2. Step 2: Convert to fraction form
    4,178.63/5,766.50 = 2,315.63/x
  3. Step 3: Cross multiply
    4,178.63x = 5,766.50 × 2,315.63
  4. Step 4: Simplify right side
    4,178.63x = 13,353,057.35
  5. Step 5: Solve for x
    x = 13,353,057.35/4,178.63
  6. Step 6: Final answer
    x = 3,195.56

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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.