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Finding the Fourth Proportional to 5,890.46, 8,836.49 and 1,730.77

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Solution

The fourth proportional to 5,890.46, 8,836.49 and 1,730.77 is: 2,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.46 : 8,836.49 = 1,730.77 : x
  2. Step 2: Convert to fraction form
    5,890.46/8,836.49 = 1,730.77/x
  3. Step 3: Cross multiply
    5,890.46x = 8,836.49 × 1,730.77
  4. Step 4: Simplify right side
    5,890.46x = 15,293,914.03
  5. Step 5: Solve for x
    x = 15,293,914.03/5,890.46
  6. Step 6: Final answer
    x = 2,596.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.