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Finding the Fourth Proportional to 5,141.31, 7,713.26 and 2,800.68

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Solution

The fourth proportional to 5,141.31, 7,713.26 and 2,800.68 is: 4,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.31 : 7,713.26 = 2,800.68 : x
  2. Step 2: Convert to fraction form
    5,141.31/7,713.26 = 2,800.68/x
  3. Step 3: Cross multiply
    5,141.31x = 7,713.26 × 2,800.68
  4. Step 4: Simplify right side
    5,141.31x = 21,602,359.01
  5. Step 5: Solve for x
    x = 21,602,359.01/5,141.31
  6. Step 6: Final answer
    x = 4,201.72

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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.