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Finding the Fourth Proportional to 3,574.68, 4,933.36 and 2,082.72

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Solution

The fourth proportional to 3,574.68, 4,933.36 and 2,082.72 is: 2,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.68 : 4,933.36 = 2,082.72 : x
  2. Step 2: Convert to fraction form
    3,574.68/4,933.36 = 2,082.72/x
  3. Step 3: Cross multiply
    3,574.68x = 4,933.36 × 2,082.72
  4. Step 4: Simplify right side
    3,574.68x = 10,274,807.54
  5. Step 5: Solve for x
    x = 10,274,807.54/3,574.68
  6. Step 6: Final answer
    x = 2,874.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.