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Finding the Fourth Proportional to 5,101.99, 7,649.54 and 1,769.38

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Solution

The fourth proportional to 5,101.99, 7,649.54 and 1,769.38 is: 2,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.99 : 7,649.54 = 1,769.38 : x
  2. Step 2: Convert to fraction form
    5,101.99/7,649.54 = 1,769.38/x
  3. Step 3: Cross multiply
    5,101.99x = 7,649.54 × 1,769.38
  4. Step 4: Simplify right side
    5,101.99x = 13,534,921.75
  5. Step 5: Solve for x
    x = 13,534,921.75/5,101.99
  6. Step 6: Final answer
    x = 2,652.87

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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.