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Finding the Fourth Proportional to 5,808.52, 8,706.82 and 2,297.12

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Solution

The fourth proportional to 5,808.52, 8,706.82 and 2,297.12 is: 3,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.52 : 8,706.82 = 2,297.12 : x
  2. Step 2: Convert to fraction form
    5,808.52/8,706.82 = 2,297.12/x
  3. Step 3: Cross multiply
    5,808.52x = 8,706.82 × 2,297.12
  4. Step 4: Simplify right side
    5,808.52x = 20,000,610.36
  5. Step 5: Solve for x
    x = 20,000,610.36/5,808.52
  6. Step 6: Final answer
    x = 3,443.32

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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.