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Finding the Fourth Proportional to 4,178.64, 5,766.35 and 2,499.05

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Solution

The fourth proportional to 4,178.64, 5,766.35 and 2,499.05 is: 3,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.64 : 5,766.35 = 2,499.05 : x
  2. Step 2: Convert to fraction form
    4,178.64/5,766.35 = 2,499.05/x
  3. Step 3: Cross multiply
    4,178.64x = 5,766.35 × 2,499.05
  4. Step 4: Simplify right side
    4,178.64x = 14,410,396.97
  5. Step 5: Solve for x
    x = 14,410,396.97/4,178.64
  6. Step 6: Final answer
    x = 3,448.59

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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.