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Finding the Fourth Proportional to 5,682.69, 8,530.11 and 3,222.32

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Solution

The fourth proportional to 5,682.69, 8,530.11 and 3,222.32 is: 4,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.69 : 8,530.11 = 3,222.32 : x
  2. Step 2: Convert to fraction form
    5,682.69/8,530.11 = 3,222.32/x
  3. Step 3: Cross multiply
    5,682.69x = 8,530.11 × 3,222.32
  4. Step 4: Simplify right side
    5,682.69x = 27,486,701.40
  5. Step 5: Solve for x
    x = 27,486,701.40/5,682.69
  6. Step 6: Final answer
    x = 4,836.92

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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.