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Finding the Fourth Proportional to 4,184.75, 5,771.75 and 3,065.28

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Solution

The fourth proportional to 4,184.75, 5,771.75 and 3,065.28 is: 4,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.75 : 5,771.75 = 3,065.28 : x
  2. Step 2: Convert to fraction form
    4,184.75/5,771.75 = 3,065.28/x
  3. Step 3: Cross multiply
    4,184.75x = 5,771.75 × 3,065.28
  4. Step 4: Simplify right side
    4,184.75x = 17,692,014.51
  5. Step 5: Solve for x
    x = 17,692,014.51/4,184.75
  6. Step 6: Final answer
    x = 4,227.74

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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.