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Finding the Fourth Proportional to 5,116.71, 7,677.05 and 1,997.00

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Solution

The fourth proportional to 5,116.71, 7,677.05 and 1,997.00 is: 2,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.71 : 7,677.05 = 1,997.00 : x
  2. Step 2: Convert to fraction form
    5,116.71/7,677.05 = 1,997.00/x
  3. Step 3: Cross multiply
    5,116.71x = 7,677.05 × 1,997.00
  4. Step 4: Simplify right side
    5,116.71x = 15,331,020.48
  5. Step 5: Solve for x
    x = 15,331,020.48/5,116.71
  6. Step 6: Final answer
    x = 2,996.27

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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.