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Finding the Fourth Proportional to 5,817.90, 8,028.54 and 3,165.42

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Solution

The fourth proportional to 5,817.90, 8,028.54 and 3,165.42 is: 4,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.90 : 8,028.54 = 3,165.42 : x
  2. Step 2: Convert to fraction form
    5,817.90/8,028.54 = 3,165.42/x
  3. Step 3: Cross multiply
    5,817.90x = 8,028.54 × 3,165.42
  4. Step 4: Simplify right side
    5,817.90x = 25,413,701.09
  5. Step 5: Solve for x
    x = 25,413,701.09/5,817.90
  6. Step 6: Final answer
    x = 4,368.19

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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.