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Finding the Fourth Proportional to 3,428.31, 4,731.07 and 1,856.41

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Solution

The fourth proportional to 3,428.31, 4,731.07 and 1,856.41 is: 2,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.31 : 4,731.07 = 1,856.41 : x
  2. Step 2: Convert to fraction form
    3,428.31/4,731.07 = 1,856.41/x
  3. Step 3: Cross multiply
    3,428.31x = 4,731.07 × 1,856.41
  4. Step 4: Simplify right side
    3,428.31x = 8,782,805.66
  5. Step 5: Solve for x
    x = 8,782,805.66/3,428.31
  6. Step 6: Final answer
    x = 2,561.85

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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.