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Finding the Fourth Proportional to 4,178.69, 5,766.85 and 2,410.41

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Solution

The fourth proportional to 4,178.69, 5,766.85 and 2,410.41 is: 3,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.69 : 5,766.85 = 2,410.41 : x
  2. Step 2: Convert to fraction form
    4,178.69/5,766.85 = 2,410.41/x
  3. Step 3: Cross multiply
    4,178.69x = 5,766.85 × 2,410.41
  4. Step 4: Simplify right side
    4,178.69x = 13,900,451.55
  5. Step 5: Solve for x
    x = 13,900,451.55/4,178.69
  6. Step 6: Final answer
    x = 3,326.51

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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.