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Finding the Fourth Proportional to 5,209.72, 7,190.22 and 2,971.60

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Solution

The fourth proportional to 5,209.72, 7,190.22 and 2,971.60 is: 4,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.72 : 7,190.22 = 2,971.60 : x
  2. Step 2: Convert to fraction form
    5,209.72/7,190.22 = 2,971.60/x
  3. Step 3: Cross multiply
    5,209.72x = 7,190.22 × 2,971.60
  4. Step 4: Simplify right side
    5,209.72x = 21,366,457.75
  5. Step 5: Solve for x
    x = 21,366,457.75/5,209.72
  6. Step 6: Final answer
    x = 4,101.27

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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.