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Finding the Fourth Proportional to 5,772.90, 8,659.83 and 1,823.10

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Solution

The fourth proportional to 5,772.90, 8,659.83 and 1,823.10 is: 2,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.90 : 8,659.83 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    5,772.90/8,659.83 = 1,823.10/x
  3. Step 3: Cross multiply
    5,772.90x = 8,659.83 × 1,823.10
  4. Step 4: Simplify right side
    5,772.90x = 15,787,692.77
  5. Step 5: Solve for x
    x = 15,787,692.77/5,772.90
  6. Step 6: Final answer
    x = 2,734.80

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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.