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Finding the Fourth Proportional to 5,772.84, 8,662.50 and 2,310.36

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Solution

The fourth proportional to 5,772.84, 8,662.50 and 2,310.36 is: 3,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.84 : 8,662.50 = 2,310.36 : x
  2. Step 2: Convert to fraction form
    5,772.84/8,662.50 = 2,310.36/x
  3. Step 3: Cross multiply
    5,772.84x = 8,662.50 × 2,310.36
  4. Step 4: Simplify right side
    5,772.84x = 20,013,493.50
  5. Step 5: Solve for x
    x = 20,013,493.50/5,772.84
  6. Step 6: Final answer
    x = 3,466.84

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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.