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Finding the Fourth Proportional to 3,358.56, 4,634.82 and 1,866.57

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Solution

The fourth proportional to 3,358.56, 4,634.82 and 1,866.57 is: 2,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.56 : 4,634.82 = 1,866.57 : x
  2. Step 2: Convert to fraction form
    3,358.56/4,634.82 = 1,866.57/x
  3. Step 3: Cross multiply
    3,358.56x = 4,634.82 × 1,866.57
  4. Step 4: Simplify right side
    3,358.56x = 8,651,215.97
  5. Step 5: Solve for x
    x = 8,651,215.97/3,358.56
  6. Step 6: Final answer
    x = 2,575.87

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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.