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Finding the Fourth Proportional to 5,171.94, 7,128.07 and 4,221.61

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Solution

The fourth proportional to 5,171.94, 7,128.07 and 4,221.61 is: 5,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.94 : 7,128.07 = 4,221.61 : x
  2. Step 2: Convert to fraction form
    5,171.94/7,128.07 = 4,221.61/x
  3. Step 3: Cross multiply
    5,171.94x = 7,128.07 × 4,221.61
  4. Step 4: Simplify right side
    5,171.94x = 30,091,903.22
  5. Step 5: Solve for x
    x = 30,091,903.22/5,171.94
  6. Step 6: Final answer
    x = 5,818.30

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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.