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Finding the Fourth Proportional to 5,502, 7,592.76 and 3,018

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Solution

The fourth proportional to 5,502, 7,592.76 and 3,018 is: 4,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502 : 7,592.76 = 3,018 : x
  2. Step 2: Convert to fraction form
    5,502/7,592.76 = 3,018/x
  3. Step 3: Cross multiply
    5,502x = 7,592.76 × 3,018
  4. Step 4: Simplify right side
    5,502x = 22,914,949.68
  5. Step 5: Solve for x
    x = 22,914,949.68/5,502
  6. Step 6: Final answer
    x = 4,164.84

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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.