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Finding the Fourth Proportional to 4,165.06, 5,745 and 3,028.82

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Solution

The fourth proportional to 4,165.06, 5,745 and 3,028.82 is: 4,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.06 : 5,745 = 3,028.82 : x
  2. Step 2: Convert to fraction form
    4,165.06/5,745 = 3,028.82/x
  3. Step 3: Cross multiply
    4,165.06x = 5,745 × 3,028.82
  4. Step 4: Simplify right side
    4,165.06x = 17,400,570.90
  5. Step 5: Solve for x
    x = 17,400,570.90/4,165.06
  6. Step 6: Final answer
    x = 4,177.75

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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.