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Finding the Fourth Proportional to 5,682.20, 8,522.54 and 2,219

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Solution

The fourth proportional to 5,682.20, 8,522.54 and 2,219 is: 3,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.20 : 8,522.54 = 2,219 : x
  2. Step 2: Convert to fraction form
    5,682.20/8,522.54 = 2,219/x
  3. Step 3: Cross multiply
    5,682.20x = 8,522.54 × 2,219
  4. Step 4: Simplify right side
    5,682.20x = 18,911,516.26
  5. Step 5: Solve for x
    x = 18,911,516.26/5,682.20
  6. Step 6: Final answer
    x = 3,328.20

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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.