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Finding the Fourth Proportional to 5,774.34, 7,968.57 and 3,256.46

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Solution

The fourth proportional to 5,774.34, 7,968.57 and 3,256.46 is: 4,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.34 : 7,968.57 = 3,256.46 : x
  2. Step 2: Convert to fraction form
    5,774.34/7,968.57 = 3,256.46/x
  3. Step 3: Cross multiply
    5,774.34x = 7,968.57 × 3,256.46
  4. Step 4: Simplify right side
    5,774.34x = 25,949,289.62
  5. Step 5: Solve for x
    x = 25,949,289.62/5,774.34
  6. Step 6: Final answer
    x = 4,493.90

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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.