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Finding the Fourth Proportional to 5,527.57, 7,628 and 3,138

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Solution

The fourth proportional to 5,527.57, 7,628 and 3,138 is: 4,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.57 : 7,628 = 3,138 : x
  2. Step 2: Convert to fraction form
    5,527.57/7,628 = 3,138/x
  3. Step 3: Cross multiply
    5,527.57x = 7,628 × 3,138
  4. Step 4: Simplify right side
    5,527.57x = 23,936,664
  5. Step 5: Solve for x
    x = 23,936,664/5,527.57
  6. Step 6: Final answer
    x = 4,330.41

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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.