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Finding the Fourth Proportional to 5,086.40, 7,627.31 and 1,964.00

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Solution

The fourth proportional to 5,086.40, 7,627.31 and 1,964.00 is: 2,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.40 : 7,627.31 = 1,964.00 : x
  2. Step 2: Convert to fraction form
    5,086.40/7,627.31 = 1,964.00/x
  3. Step 3: Cross multiply
    5,086.40x = 7,627.31 × 1,964.00
  4. Step 4: Simplify right side
    5,086.40x = 14,980,021.60
  5. Step 5: Solve for x
    x = 14,980,021.60/5,086.40
  6. Step 6: Final answer
    x = 2,945.12

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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.