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Finding the Fourth Proportional to 3,273, 4,908.51 and 1,082.31

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Solution

The fourth proportional to 3,273, 4,908.51 and 1,082.31 is: 1,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273 : 4,908.51 = 1,082.31 : x
  2. Step 2: Convert to fraction form
    3,273/4,908.51 = 1,082.31/x
  3. Step 3: Cross multiply
    3,273x = 4,908.51 × 1,082.31
  4. Step 4: Simplify right side
    3,273x = 5,312,529.46
  5. Step 5: Solve for x
    x = 5,312,529.46/3,273
  6. Step 6: Final answer
    x = 1,623.14

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Why These Related Problems?

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