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Finding the Fourth Proportional to 5,774.94, 7,969.67 and 3,257.16

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Solution

The fourth proportional to 5,774.94, 7,969.67 and 3,257.16 is: 4,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.94 : 7,969.67 = 3,257.16 : x
  2. Step 2: Convert to fraction form
    5,774.94/7,969.67 = 3,257.16/x
  3. Step 3: Cross multiply
    5,774.94x = 7,969.67 × 3,257.16
  4. Step 4: Simplify right side
    5,774.94x = 25,958,474.05
  5. Step 5: Solve for x
    x = 25,958,474.05/5,774.94
  6. Step 6: Final answer
    x = 4,495.02

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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.