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Finding the Fourth Proportional to 4,952.77, 6,834.62 and 2,964.42

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Solution

The fourth proportional to 4,952.77, 6,834.62 and 2,964.42 is: 4,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.77 : 6,834.62 = 2,964.42 : x
  2. Step 2: Convert to fraction form
    4,952.77/6,834.62 = 2,964.42/x
  3. Step 3: Cross multiply
    4,952.77x = 6,834.62 × 2,964.42
  4. Step 4: Simplify right side
    4,952.77x = 20,260,684.22
  5. Step 5: Solve for x
    x = 20,260,684.22/4,952.77
  6. Step 6: Final answer
    x = 4,090.78

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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.