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Finding the Fourth Proportional to 5,820.88, 8,027.28 and 3,830.56

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Solution

The fourth proportional to 5,820.88, 8,027.28 and 3,830.56 is: 5,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.88 : 8,027.28 = 3,830.56 : x
  2. Step 2: Convert to fraction form
    5,820.88/8,027.28 = 3,830.56/x
  3. Step 3: Cross multiply
    5,820.88x = 8,027.28 × 3,830.56
  4. Step 4: Simplify right side
    5,820.88x = 30,748,977.68
  5. Step 5: Solve for x
    x = 30,748,977.68/5,820.88
  6. Step 6: Final answer
    x = 5,282.53

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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.