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Finding the Fourth Proportional to 5,646.28, 7,795.77 and 4,317.68

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Solution

The fourth proportional to 5,646.28, 7,795.77 and 4,317.68 is: 5,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.28 : 7,795.77 = 4,317.68 : x
  2. Step 2: Convert to fraction form
    5,646.28/7,795.77 = 4,317.68/x
  3. Step 3: Cross multiply
    5,646.28x = 7,795.77 × 4,317.68
  4. Step 4: Simplify right side
    5,646.28x = 33,659,640.21
  5. Step 5: Solve for x
    x = 33,659,640.21/5,646.28
  6. Step 6: Final answer
    x = 5,961.38

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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.