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Finding the Fourth Proportional to 5,844.92, 8,766.13 and 1,684.15

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Solution

The fourth proportional to 5,844.92, 8,766.13 and 1,684.15 is: 2,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.92 : 8,766.13 = 1,684.15 : x
  2. Step 2: Convert to fraction form
    5,844.92/8,766.13 = 1,684.15/x
  3. Step 3: Cross multiply
    5,844.92x = 8,766.13 × 1,684.15
  4. Step 4: Simplify right side
    5,844.92x = 14,763,477.84
  5. Step 5: Solve for x
    x = 14,763,477.84/5,844.92
  6. Step 6: Final answer
    x = 2,525.86

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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.