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Finding the Fourth Proportional to 5,649.38, 7,796.42 and 3,411.21

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Solution

The fourth proportional to 5,649.38, 7,796.42 and 3,411.21 is: 4,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.38 : 7,796.42 = 3,411.21 : x
  2. Step 2: Convert to fraction form
    5,649.38/7,796.42 = 3,411.21/x
  3. Step 3: Cross multiply
    5,649.38x = 7,796.42 × 3,411.21
  4. Step 4: Simplify right side
    5,649.38x = 26,595,208.81
  5. Step 5: Solve for x
    x = 26,595,208.81/5,649.38
  6. Step 6: Final answer
    x = 4,707.64

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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.