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Finding the Fourth Proportional to 5,212.31, 7,193.00 and 2,854.46

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Solution

The fourth proportional to 5,212.31, 7,193.00 and 2,854.46 is: 3,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.31 : 7,193.00 = 2,854.46 : x
  2. Step 2: Convert to fraction form
    5,212.31/7,193.00 = 2,854.46/x
  3. Step 3: Cross multiply
    5,212.31x = 7,193.00 × 2,854.46
  4. Step 4: Simplify right side
    5,212.31x = 20,532,080.54
  5. Step 5: Solve for x
    x = 20,532,080.54/5,212.31
  6. Step 6: Final answer
    x = 3,939.15

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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.