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Finding the Fourth Proportional to 5,295.49, 7,942.81 and 1,785.43

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Solution

The fourth proportional to 5,295.49, 7,942.81 and 1,785.43 is: 2,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.49 : 7,942.81 = 1,785.43 : x
  2. Step 2: Convert to fraction form
    5,295.49/7,942.81 = 1,785.43/x
  3. Step 3: Cross multiply
    5,295.49x = 7,942.81 × 1,785.43
  4. Step 4: Simplify right side
    5,295.49x = 14,181,287.08
  5. Step 5: Solve for x
    x = 14,181,287.08/5,295.49
  6. Step 6: Final answer
    x = 2,677.99

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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.