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Finding the Fourth Proportional to 5,650.38, 7,799.58 and 3,412.26

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Solution

The fourth proportional to 5,650.38, 7,799.58 and 3,412.26 is: 4,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.38 : 7,799.58 = 3,412.26 : x
  2. Step 2: Convert to fraction form
    5,650.38/7,799.58 = 3,412.26/x
  3. Step 3: Cross multiply
    5,650.38x = 7,799.58 × 3,412.26
  4. Step 4: Simplify right side
    5,650.38x = 26,614,194.85
  5. Step 5: Solve for x
    x = 26,614,194.85/5,650.38
  6. Step 6: Final answer
    x = 4,710.16

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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.