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Finding the Fourth Proportional to 5,470.99, 8,202.25 and 2,835.61

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Solution

The fourth proportional to 5,470.99, 8,202.25 and 2,835.61 is: 4,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.99 : 8,202.25 = 2,835.61 : x
  2. Step 2: Convert to fraction form
    5,470.99/8,202.25 = 2,835.61/x
  3. Step 3: Cross multiply
    5,470.99x = 8,202.25 × 2,835.61
  4. Step 4: Simplify right side
    5,470.99x = 23,258,326.93
  5. Step 5: Solve for x
    x = 23,258,326.93/5,470.99
  6. Step 6: Final answer
    x = 4,251.21

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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.