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Finding the Fourth Proportional to 5,774.46, 7,968.66 and 3,256.80

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Solution

The fourth proportional to 5,774.46, 7,968.66 and 3,256.80 is: 4,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.46 : 7,968.66 = 3,256.80 : x
  2. Step 2: Convert to fraction form
    5,774.46/7,968.66 = 3,256.80/x
  3. Step 3: Cross multiply
    5,774.46x = 7,968.66 × 3,256.80
  4. Step 4: Simplify right side
    5,774.46x = 25,952,331.89
  5. Step 5: Solve for x
    x = 25,952,331.89/5,774.46
  6. Step 6: Final answer
    x = 4,494.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.