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Finding the Fourth Proportional to 4,952.67, 6,834.45 and 2,964.32

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Solution

The fourth proportional to 4,952.67, 6,834.45 and 2,964.32 is: 4,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.67 : 6,834.45 = 2,964.32 : x
  2. Step 2: Convert to fraction form
    4,952.67/6,834.45 = 2,964.32/x
  3. Step 3: Cross multiply
    4,952.67x = 6,834.45 × 2,964.32
  4. Step 4: Simplify right side
    4,952.67x = 20,259,496.82
  5. Step 5: Solve for x
    x = 20,259,496.82/4,952.67
  6. Step 6: Final answer
    x = 4,090.62

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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.