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Finding the Fourth Proportional to 3,896.38, 5,844.51 and 974.68

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Solution

The fourth proportional to 3,896.38, 5,844.51 and 974.68 is: 1,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.38 : 5,844.51 = 974.68 : x
  2. Step 2: Convert to fraction form
    3,896.38/5,844.51 = 974.68/x
  3. Step 3: Cross multiply
    3,896.38x = 5,844.51 × 974.68
  4. Step 4: Simplify right side
    3,896.38x = 5,696,527.01
  5. Step 5: Solve for x
    x = 5,696,527.01/3,896.38
  6. Step 6: Final answer
    x = 1,462.00

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1.5x scale

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.