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Finding the Fourth Proportional to 5,984.86, 8,981.16 and 2,522.14

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Solution

The fourth proportional to 5,984.86, 8,981.16 and 2,522.14 is: 3,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.86 : 8,981.16 = 2,522.14 : x
  2. Step 2: Convert to fraction form
    5,984.86/8,981.16 = 2,522.14/x
  3. Step 3: Cross multiply
    5,984.86x = 8,981.16 × 2,522.14
  4. Step 4: Simplify right side
    5,984.86x = 22,651,742.88
  5. Step 5: Solve for x
    x = 22,651,742.88/5,984.86
  6. Step 6: Final answer
    x = 3,784.84

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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.