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Finding the Fourth Proportional to 5,774.57, 7,968.34 and 3,257.07

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Solution

The fourth proportional to 5,774.57, 7,968.34 and 3,257.07 is: 4,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.57 : 7,968.34 = 3,257.07 : x
  2. Step 2: Convert to fraction form
    5,774.57/7,968.34 = 3,257.07/x
  3. Step 3: Cross multiply
    5,774.57x = 7,968.34 × 3,257.07
  4. Step 4: Simplify right side
    5,774.57x = 25,953,441.16
  5. Step 5: Solve for x
    x = 25,953,441.16/5,774.57
  6. Step 6: Final answer
    x = 4,494.44

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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.