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Finding the Fourth Proportional to 5,295.33, 7,942.64 and 1,597.68

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Solution

The fourth proportional to 5,295.33, 7,942.64 and 1,597.68 is: 2,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.33 : 7,942.64 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    5,295.33/7,942.64 = 1,597.68/x
  3. Step 3: Cross multiply
    5,295.33x = 7,942.64 × 1,597.68
  4. Step 4: Simplify right side
    5,295.33x = 12,689,789.09
  5. Step 5: Solve for x
    x = 12,689,789.09/5,295.33
  6. Step 6: Final answer
    x = 2,396.41

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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.