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Finding the Fourth Proportional to 5,382.70, 7,428.07 and 2,992.68

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Solution

The fourth proportional to 5,382.70, 7,428.07 and 2,992.68 is: 4,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.70 : 7,428.07 = 2,992.68 : x
  2. Step 2: Convert to fraction form
    5,382.70/7,428.07 = 2,992.68/x
  3. Step 3: Cross multiply
    5,382.70x = 7,428.07 × 2,992.68
  4. Step 4: Simplify right side
    5,382.70x = 22,229,836.53
  5. Step 5: Solve for x
    x = 22,229,836.53/5,382.70
  6. Step 6: Final answer
    x = 4,129.87

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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.