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Finding the Fourth Proportional to 3,273.15, 4,908.29 and 964.11

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Solution

The fourth proportional to 3,273.15, 4,908.29 and 964.11 is: 1,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.15 : 4,908.29 = 964.11 : x
  2. Step 2: Convert to fraction form
    3,273.15/4,908.29 = 964.11/x
  3. Step 3: Cross multiply
    3,273.15x = 4,908.29 × 964.11
  4. Step 4: Simplify right side
    3,273.15x = 4,732,126.65
  5. Step 5: Solve for x
    x = 4,732,126.65/3,273.15
  6. Step 6: Final answer
    x = 1,445.74

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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.