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Finding the Fourth Proportional to 4,998.42, 7,494.75 and 2,078.82

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Solution

The fourth proportional to 4,998.42, 7,494.75 and 2,078.82 is: 3,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.42 : 7,494.75 = 2,078.82 : x
  2. Step 2: Convert to fraction form
    4,998.42/7,494.75 = 2,078.82/x
  3. Step 3: Cross multiply
    4,998.42x = 7,494.75 × 2,078.82
  4. Step 4: Simplify right side
    4,998.42x = 15,580,236.20
  5. Step 5: Solve for x
    x = 15,580,236.20/4,998.42
  6. Step 6: Final answer
    x = 3,117.03

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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.