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Finding the Fourth Proportional to 5,887.36, 8,830.86 and 2,422

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Solution

The fourth proportional to 5,887.36, 8,830.86 and 2,422 is: 3,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.36 : 8,830.86 = 2,422 : x
  2. Step 2: Convert to fraction form
    5,887.36/8,830.86 = 2,422/x
  3. Step 3: Cross multiply
    5,887.36x = 8,830.86 × 2,422
  4. Step 4: Simplify right side
    5,887.36x = 21,388,342.92
  5. Step 5: Solve for x
    x = 21,388,342.92/5,887.36
  6. Step 6: Final answer
    x = 3,632.93

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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.