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Finding the Fourth Proportional to 4,082.73, 6,124.10 and 1,004.73

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Solution

The fourth proportional to 4,082.73, 6,124.10 and 1,004.73 is: 1,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.73 : 6,124.10 = 1,004.73 : x
  2. Step 2: Convert to fraction form
    4,082.73/6,124.10 = 1,004.73/x
  3. Step 3: Cross multiply
    4,082.73x = 6,124.10 × 1,004.73
  4. Step 4: Simplify right side
    4,082.73x = 6,153,061.97
  5. Step 5: Solve for x
    x = 6,153,061.97/4,082.73
  6. Step 6: Final answer
    x = 1,507.10

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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.