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Finding the Fourth Proportional to 4,958, 7,432.76 and 2,034.48

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Solution

The fourth proportional to 4,958, 7,432.76 and 2,034.48 is: 3,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958 : 7,432.76 = 2,034.48 : x
  2. Step 2: Convert to fraction form
    4,958/7,432.76 = 2,034.48/x
  3. Step 3: Cross multiply
    4,958x = 7,432.76 × 2,034.48
  4. Step 4: Simplify right side
    4,958x = 15,121,801.56
  5. Step 5: Solve for x
    x = 15,121,801.56/4,958
  6. Step 6: Final answer
    x = 3,049.98

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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.