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Finding the Fourth Proportional to 5,906.88, 8,814.60 and 5,252.40

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Solution

The fourth proportional to 5,906.88, 8,814.60 and 5,252.40 is: 7,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.88 : 8,814.60 = 5,252.40 : x
  2. Step 2: Convert to fraction form
    5,906.88/8,814.60 = 5,252.40/x
  3. Step 3: Cross multiply
    5,906.88x = 8,814.60 × 5,252.40
  4. Step 4: Simplify right side
    5,906.88x = 46,297,805.04
  5. Step 5: Solve for x
    x = 46,297,805.04/5,906.88
  6. Step 6: Final answer
    x = 7,837.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.