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Finding the Fourth Proportional to 3,935.54, 5,904 and 1,470.30

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Solution

The fourth proportional to 3,935.54, 5,904 and 1,470.30 is: 2,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.54 : 5,904 = 1,470.30 : x
  2. Step 2: Convert to fraction form
    3,935.54/5,904 = 1,470.30/x
  3. Step 3: Cross multiply
    3,935.54x = 5,904 × 1,470.30
  4. Step 4: Simplify right side
    3,935.54x = 8,680,651.20
  5. Step 5: Solve for x
    x = 8,680,651.20/3,935.54
  6. Step 6: Final answer
    x = 2,205.71

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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.