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Finding the Fourth Proportional to 3,935.07, 5,902.47 and 1,469.16

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Solution

The fourth proportional to 3,935.07, 5,902.47 and 1,469.16 is: 2,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.07 : 5,902.47 = 1,469.16 : x
  2. Step 2: Convert to fraction form
    3,935.07/5,902.47 = 1,469.16/x
  3. Step 3: Cross multiply
    3,935.07x = 5,902.47 × 1,469.16
  4. Step 4: Simplify right side
    3,935.07x = 8,671,672.83
  5. Step 5: Solve for x
    x = 8,671,672.83/3,935.07
  6. Step 6: Final answer
    x = 2,203.69

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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.