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Finding the Fourth Proportional to 5,756.64, 7,942.95 and 3,398.33

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Solution

The fourth proportional to 5,756.64, 7,942.95 and 3,398.33 is: 4,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.64 : 7,942.95 = 3,398.33 : x
  2. Step 2: Convert to fraction form
    5,756.64/7,942.95 = 3,398.33/x
  3. Step 3: Cross multiply
    5,756.64x = 7,942.95 × 3,398.33
  4. Step 4: Simplify right side
    5,756.64x = 26,992,725.56
  5. Step 5: Solve for x
    x = 26,992,725.56/5,756.64
  6. Step 6: Final answer
    x = 4,688.97

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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.