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Finding the Fourth Proportional to 3,257.14, 4,494.84 and 1,859.89

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Solution

The fourth proportional to 3,257.14, 4,494.84 and 1,859.89 is: 2,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.14 : 4,494.84 = 1,859.89 : x
  2. Step 2: Convert to fraction form
    3,257.14/4,494.84 = 1,859.89/x
  3. Step 3: Cross multiply
    3,257.14x = 4,494.84 × 1,859.89
  4. Step 4: Simplify right side
    3,257.14x = 8,359,907.97
  5. Step 5: Solve for x
    x = 8,359,907.97/3,257.14
  6. Step 6: Final answer
    x = 2,566.64

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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.