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Finding the Fourth Proportional to 4,952.56, 6,835.63 and 3,274.20

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Solution

The fourth proportional to 4,952.56, 6,835.63 and 3,274.20 is: 4,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.56 : 6,835.63 = 3,274.20 : x
  2. Step 2: Convert to fraction form
    4,952.56/6,835.63 = 3,274.20/x
  3. Step 3: Cross multiply
    4,952.56x = 6,835.63 × 3,274.20
  4. Step 4: Simplify right side
    4,952.56x = 22,381,245.02
  5. Step 5: Solve for x
    x = 22,381,245.02/4,952.56
  6. Step 6: Final answer
    x = 4,519.13

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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.