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Finding the Fourth Proportional to 3,291.66, 4,936.22 and 950.84

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Solution

The fourth proportional to 3,291.66, 4,936.22 and 950.84 is: 1,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.66 : 4,936.22 = 950.84 : x
  2. Step 2: Convert to fraction form
    3,291.66/4,936.22 = 950.84/x
  3. Step 3: Cross multiply
    3,291.66x = 4,936.22 × 950.84
  4. Step 4: Simplify right side
    3,291.66x = 4,693,555.42
  5. Step 5: Solve for x
    x = 4,693,555.42/3,291.66
  6. Step 6: Final answer
    x = 1,425.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.