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Finding the Fourth Proportional to 3,771.02, 5,200.80 and 3,071.18

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Solution

The fourth proportional to 3,771.02, 5,200.80 and 3,071.18 is: 4,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.02 : 5,200.80 = 3,071.18 : x
  2. Step 2: Convert to fraction form
    3,771.02/5,200.80 = 3,071.18/x
  3. Step 3: Cross multiply
    3,771.02x = 5,200.80 × 3,071.18
  4. Step 4: Simplify right side
    3,771.02x = 15,972,592.94
  5. Step 5: Solve for x
    x = 15,972,592.94/3,771.02
  6. Step 6: Final answer
    x = 4,235.62

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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.