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Finding the Fourth Proportional to 3,935.69, 5,903.08 and 1,013.77

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Solution

The fourth proportional to 3,935.69, 5,903.08 and 1,013.77 is: 1,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.69 : 5,903.08 = 1,013.77 : x
  2. Step 2: Convert to fraction form
    3,935.69/5,903.08 = 1,013.77/x
  3. Step 3: Cross multiply
    3,935.69x = 5,903.08 × 1,013.77
  4. Step 4: Simplify right side
    3,935.69x = 5,984,337.05
  5. Step 5: Solve for x
    x = 5,984,337.05/3,935.69
  6. Step 6: Final answer
    x = 1,520.53

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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.