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Finding the Fourth Proportional to 5,820, 8,028.18 and 3,462

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Solution

The fourth proportional to 5,820, 8,028.18 and 3,462 is: 4,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820 : 8,028.18 = 3,462 : x
  2. Step 2: Convert to fraction form
    5,820/8,028.18 = 3,462/x
  3. Step 3: Cross multiply
    5,820x = 8,028.18 × 3,462
  4. Step 4: Simplify right side
    5,820x = 27,793,559.16
  5. Step 5: Solve for x
    x = 27,793,559.16/5,820
  6. Step 6: Final answer
    x = 4,775.53

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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.