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Finding the Fourth Proportional to 5,906.64, 8,833.50 and 5,252.58

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Solution

The fourth proportional to 5,906.64, 8,833.50 and 5,252.58 is: 7,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.64 : 8,833.50 = 5,252.58 : x
  2. Step 2: Convert to fraction form
    5,906.64/8,833.50 = 5,252.58/x
  3. Step 3: Cross multiply
    5,906.64x = 8,833.50 × 5,252.58
  4. Step 4: Simplify right side
    5,906.64x = 46,398,665.43
  5. Step 5: Solve for x
    x = 46,398,665.43/5,906.64
  6. Step 6: Final answer
    x = 7,855.34

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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.