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Finding the Fourth Proportional to 5,774.38, 7,968.08 and 3,256.88

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Solution

The fourth proportional to 5,774.38, 7,968.08 and 3,256.88 is: 4,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.38 : 7,968.08 = 3,256.88 : x
  2. Step 2: Convert to fraction form
    5,774.38/7,968.08 = 3,256.88/x
  3. Step 3: Cross multiply
    5,774.38x = 7,968.08 × 3,256.88
  4. Step 4: Simplify right side
    5,774.38x = 25,951,048.69
  5. Step 5: Solve for x
    x = 25,951,048.69/5,774.38
  6. Step 6: Final answer
    x = 4,494.17

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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.