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Finding the Fourth Proportional to 5,984.22, 8,970.12 and 2,034.18

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Solution

The fourth proportional to 5,984.22, 8,970.12 and 2,034.18 is: 3,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.22 : 8,970.12 = 2,034.18 : x
  2. Step 2: Convert to fraction form
    5,984.22/8,970.12 = 2,034.18/x
  3. Step 3: Cross multiply
    5,984.22x = 8,970.12 × 2,034.18
  4. Step 4: Simplify right side
    5,984.22x = 18,246,838.70
  5. Step 5: Solve for x
    x = 18,246,838.70/5,984.22
  6. Step 6: Final answer
    x = 3,049.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.