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Finding the Fourth Proportional to 5,682.16, 8,522.52 and 2,221.84

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Solution

The fourth proportional to 5,682.16, 8,522.52 and 2,221.84 is: 3,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.16 : 8,522.52 = 2,221.84 : x
  2. Step 2: Convert to fraction form
    5,682.16/8,522.52 = 2,221.84/x
  3. Step 3: Cross multiply
    5,682.16x = 8,522.52 × 2,221.84
  4. Step 4: Simplify right side
    5,682.16x = 18,935,675.84
  5. Step 5: Solve for x
    x = 18,935,675.84/5,682.16
  6. Step 6: Final answer
    x = 3,332.48

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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.