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Finding the Fourth Proportional to 3,428.82, 4,731.80 and 1,856.94

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Solution

The fourth proportional to 3,428.82, 4,731.80 and 1,856.94 is: 2,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.82 : 4,731.80 = 1,856.94 : x
  2. Step 2: Convert to fraction form
    3,428.82/4,731.80 = 1,856.94/x
  3. Step 3: Cross multiply
    3,428.82x = 4,731.80 × 1,856.94
  4. Step 4: Simplify right side
    3,428.82x = 8,786,659.41
  5. Step 5: Solve for x
    x = 8,786,659.41/3,428.82
  6. Step 6: Final answer
    x = 2,562.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.