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Finding the Fourth Proportional to 4,540.96, 6,266.52 and 2,653.84

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Solution

The fourth proportional to 4,540.96, 6,266.52 and 2,653.84 is: 3,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.96 : 6,266.52 = 2,653.84 : x
  2. Step 2: Convert to fraction form
    4,540.96/6,266.52 = 2,653.84/x
  3. Step 3: Cross multiply
    4,540.96x = 6,266.52 × 2,653.84
  4. Step 4: Simplify right side
    4,540.96x = 16,630,341.44
  5. Step 5: Solve for x
    x = 16,630,341.44/4,540.96
  6. Step 6: Final answer
    x = 3,662.30

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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.