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Finding the Fourth Proportional to 5,145.48, 7,711.38 and 2,805.48

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Solution

The fourth proportional to 5,145.48, 7,711.38 and 2,805.48 is: 4,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.48 : 7,711.38 = 2,805.48 : x
  2. Step 2: Convert to fraction form
    5,145.48/7,711.38 = 2,805.48/x
  3. Step 3: Cross multiply
    5,145.48x = 7,711.38 × 2,805.48
  4. Step 4: Simplify right side
    5,145.48x = 21,634,122.36
  5. Step 5: Solve for x
    x = 21,634,122.36/5,145.48
  6. Step 6: Final answer
    x = 4,204.49

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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.