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Finding the Fourth Proportional to 4,892.92, 7,339.79 and 1,382.94

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Solution

The fourth proportional to 4,892.92, 7,339.79 and 1,382.94 is: 2,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.92 : 7,339.79 = 1,382.94 : x
  2. Step 2: Convert to fraction form
    4,892.92/7,339.79 = 1,382.94/x
  3. Step 3: Cross multiply
    4,892.92x = 7,339.79 × 1,382.94
  4. Step 4: Simplify right side
    4,892.92x = 10,150,492.64
  5. Step 5: Solve for x
    x = 10,150,492.64/4,892.92
  6. Step 6: Final answer
    x = 2,074.53

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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.