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Finding the Fourth Proportional to 5,210.70, 7,190.68 and 2,972.60

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Solution

The fourth proportional to 5,210.70, 7,190.68 and 2,972.60 is: 4,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.70 : 7,190.68 = 2,972.60 : x
  2. Step 2: Convert to fraction form
    5,210.70/7,190.68 = 2,972.60/x
  3. Step 3: Cross multiply
    5,210.70x = 7,190.68 × 2,972.60
  4. Step 4: Simplify right side
    5,210.70x = 21,375,044.97
  5. Step 5: Solve for x
    x = 21,375,044.97/5,210.70
  6. Step 6: Final answer
    x = 4,102.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.