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Finding the Fourth Proportional to 4,984.22, 7,475.72 and 2,062.14

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Solution

The fourth proportional to 4,984.22, 7,475.72 and 2,062.14 is: 3,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.22 : 7,475.72 = 2,062.14 : x
  2. Step 2: Convert to fraction form
    4,984.22/7,475.72 = 2,062.14/x
  3. Step 3: Cross multiply
    4,984.22x = 7,475.72 × 2,062.14
  4. Step 4: Simplify right side
    4,984.22x = 15,415,970.93
  5. Step 5: Solve for x
    x = 15,415,970.93/4,984.22
  6. Step 6: Final answer
    x = 3,092.96

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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.