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Finding the Fourth Proportional to 4,942.64, 6,820.18 and 2,952.78

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Solution

The fourth proportional to 4,942.64, 6,820.18 and 2,952.78 is: 4,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.64 : 6,820.18 = 2,952.78 : x
  2. Step 2: Convert to fraction form
    4,942.64/6,820.18 = 2,952.78/x
  3. Step 3: Cross multiply
    4,942.64x = 6,820.18 × 2,952.78
  4. Step 4: Simplify right side
    4,942.64x = 20,138,459.29
  5. Step 5: Solve for x
    x = 20,138,459.29/4,942.64
  6. Step 6: Final answer
    x = 4,074.43

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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.