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Finding the Fourth Proportional to 5,135.52, 7,703.60 and 2,057.52

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Solution

The fourth proportional to 5,135.52, 7,703.60 and 2,057.52 is: 3,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.52 : 7,703.60 = 2,057.52 : x
  2. Step 2: Convert to fraction form
    5,135.52/7,703.60 = 2,057.52/x
  3. Step 3: Cross multiply
    5,135.52x = 7,703.60 × 2,057.52
  4. Step 4: Simplify right side
    5,135.52x = 15,850,311.07
  5. Step 5: Solve for x
    x = 15,850,311.07/5,135.52
  6. Step 6: Final answer
    x = 3,086.41

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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.