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Finding the Fourth Proportional to 3,358.64, 4,634.87 and 1,866.56

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Solution

The fourth proportional to 3,358.64, 4,634.87 and 1,866.56 is: 2,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.64 : 4,634.87 = 1,866.56 : x
  2. Step 2: Convert to fraction form
    3,358.64/4,634.87 = 1,866.56/x
  3. Step 3: Cross multiply
    3,358.64x = 4,634.87 × 1,866.56
  4. Step 4: Simplify right side
    3,358.64x = 8,651,244.44
  5. Step 5: Solve for x
    x = 8,651,244.44/3,358.64
  6. Step 6: Final answer
    x = 2,575.82

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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.