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Finding the Fourth Proportional to 4,935.85, 7,406.50 and 2,013.94

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Solution

The fourth proportional to 4,935.85, 7,406.50 and 2,013.94 is: 3,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.85 : 7,406.50 = 2,013.94 : x
  2. Step 2: Convert to fraction form
    4,935.85/7,406.50 = 2,013.94/x
  3. Step 3: Cross multiply
    4,935.85x = 7,406.50 × 2,013.94
  4. Step 4: Simplify right side
    4,935.85x = 14,916,246.61
  5. Step 5: Solve for x
    x = 14,916,246.61/4,935.85
  6. Step 6: Final answer
    x = 3,022.02

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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.