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Finding the Fourth Proportional to 5,468.50, 7,546.53 and 2,984.50

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Solution

The fourth proportional to 5,468.50, 7,546.53 and 2,984.50 is: 4,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.50 : 7,546.53 = 2,984.50 : x
  2. Step 2: Convert to fraction form
    5,468.50/7,546.53 = 2,984.50/x
  3. Step 3: Cross multiply
    5,468.50x = 7,546.53 × 2,984.50
  4. Step 4: Simplify right side
    5,468.50x = 22,522,618.79
  5. Step 5: Solve for x
    x = 22,522,618.79/5,468.50
  6. Step 6: Final answer
    x = 4,118.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.