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Finding the Fourth Proportional to 5,188, 7,159.44 and 3,325

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Solution

The fourth proportional to 5,188, 7,159.44 and 3,325 is: 4,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 7,159.44 = 3,325 : x
  2. Step 2: Convert to fraction form
    5,188/7,159.44 = 3,325/x
  3. Step 3: Cross multiply
    5,188x = 7,159.44 × 3,325
  4. Step 4: Simplify right side
    5,188x = 23,805,138
  5. Step 5: Solve for x
    x = 23,805,138/5,188
  6. Step 6: Final answer
    x = 4,588.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.