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Finding the Fourth Proportional to 5,101.70, 7,649.81 and 2,097.10

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Solution

The fourth proportional to 5,101.70, 7,649.81 and 2,097.10 is: 3,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.70 : 7,649.81 = 2,097.10 : x
  2. Step 2: Convert to fraction form
    5,101.70/7,649.81 = 2,097.10/x
  3. Step 3: Cross multiply
    5,101.70x = 7,649.81 × 2,097.10
  4. Step 4: Simplify right side
    5,101.70x = 16,042,423.49
  5. Step 5: Solve for x
    x = 16,042,423.49/5,101.70
  6. Step 6: Final answer
    x = 3,144.53

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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.