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Finding the Fourth Proportional to 5,270.63, 7,902.29 and 3,191.15

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Solution

The fourth proportional to 5,270.63, 7,902.29 and 3,191.15 is: 4,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.63 : 7,902.29 = 3,191.15 : x
  2. Step 2: Convert to fraction form
    5,270.63/7,902.29 = 3,191.15/x
  3. Step 3: Cross multiply
    5,270.63x = 7,902.29 × 3,191.15
  4. Step 4: Simplify right side
    5,270.63x = 25,217,420.47
  5. Step 5: Solve for x
    x = 25,217,420.47/5,270.63
  6. Step 6: Final answer
    x = 4,784.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.