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Finding the Fourth Proportional to 5,200.80, 7,171.74 and 4,457.22

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Solution

The fourth proportional to 5,200.80, 7,171.74 and 4,457.22 is: 6,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.80 : 7,171.74 = 4,457.22 : x
  2. Step 2: Convert to fraction form
    5,200.80/7,171.74 = 4,457.22/x
  3. Step 3: Cross multiply
    5,200.80x = 7,171.74 × 4,457.22
  4. Step 4: Simplify right side
    5,200.80x = 31,966,022.96
  5. Step 5: Solve for x
    x = 31,966,022.96/5,200.80
  6. Step 6: Final answer
    x = 6,146.37

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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.