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Finding the Fourth Proportional to 5,462.84, 8,185.96 and 4,002.96

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Solution

The fourth proportional to 5,462.84, 8,185.96 and 4,002.96 is: 5,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.84 : 8,185.96 = 4,002.96 : x
  2. Step 2: Convert to fraction form
    5,462.84/8,185.96 = 4,002.96/x
  3. Step 3: Cross multiply
    5,462.84x = 8,185.96 × 4,002.96
  4. Step 4: Simplify right side
    5,462.84x = 32,768,070.44
  5. Step 5: Solve for x
    x = 32,768,070.44/5,462.84
  6. Step 6: Final answer
    x = 5,998.36

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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.