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Finding the Fourth Proportional to 3,470.94, 5,202 and 2,498.94

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Solution

The fourth proportional to 3,470.94, 5,202 and 2,498.94 is: 3,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.94 : 5,202 = 2,498.94 : x
  2. Step 2: Convert to fraction form
    3,470.94/5,202 = 2,498.94/x
  3. Step 3: Cross multiply
    3,470.94x = 5,202 × 2,498.94
  4. Step 4: Simplify right side
    3,470.94x = 12,999,485.88
  5. Step 5: Solve for x
    x = 12,999,485.88/3,470.94
  6. Step 6: Final answer
    x = 3,745.23

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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.