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Finding the Fourth Proportional to 4,937.78, 7,407.84 and 1,474.94

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Solution

The fourth proportional to 4,937.78, 7,407.84 and 1,474.94 is: 2,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.78 : 7,407.84 = 1,474.94 : x
  2. Step 2: Convert to fraction form
    4,937.78/7,407.84 = 1,474.94/x
  3. Step 3: Cross multiply
    4,937.78x = 7,407.84 × 1,474.94
  4. Step 4: Simplify right side
    4,937.78x = 10,926,112.15
  5. Step 5: Solve for x
    x = 10,926,112.15/4,937.78
  6. Step 6: Final answer
    x = 2,212.76

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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.