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Finding the Fourth Proportional to 3,257.91, 4,495.92 and 1,765.83

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Solution

The fourth proportional to 3,257.91, 4,495.92 and 1,765.83 is: 2,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.91 : 4,495.92 = 1,765.83 : x
  2. Step 2: Convert to fraction form
    3,257.91/4,495.92 = 1,765.83/x
  3. Step 3: Cross multiply
    3,257.91x = 4,495.92 × 1,765.83
  4. Step 4: Simplify right side
    3,257.91x = 7,939,030.41
  5. Step 5: Solve for x
    x = 7,939,030.41/3,257.91
  6. Step 6: Final answer
    x = 2,436.85

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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.