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Finding the Fourth Proportional to 5,180.16, 7,755.84 and 4,028.16

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Solution

The fourth proportional to 5,180.16, 7,755.84 and 4,028.16 is: 6,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.16 : 7,755.84 = 4,028.16 : x
  2. Step 2: Convert to fraction form
    5,180.16/7,755.84 = 4,028.16/x
  3. Step 3: Cross multiply
    5,180.16x = 7,755.84 × 4,028.16
  4. Step 4: Simplify right side
    5,180.16x = 31,241,764.45
  5. Step 5: Solve for x
    x = 31,241,764.45/5,180.16
  6. Step 6: Final answer
    x = 6,031.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.