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Finding the Fourth Proportional to 5,620.74, 7,743.96 and 3,917.64

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Solution

The fourth proportional to 5,620.74, 7,743.96 and 3,917.64 is: 5,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.74 : 7,743.96 = 3,917.64 : x
  2. Step 2: Convert to fraction form
    5,620.74/7,743.96 = 3,917.64/x
  3. Step 3: Cross multiply
    5,620.74x = 7,743.96 × 3,917.64
  4. Step 4: Simplify right side
    5,620.74x = 30,338,047.45
  5. Step 5: Solve for x
    x = 30,338,047.45/5,620.74
  6. Step 6: Final answer
    x = 5,397.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.