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Finding the Fourth Proportional to 3,672, 5,071.68 and 2,427.84

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Solution

The fourth proportional to 3,672, 5,071.68 and 2,427.84 is: 3,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672 : 5,071.68 = 2,427.84 : x
  2. Step 2: Convert to fraction form
    3,672/5,071.68 = 2,427.84/x
  3. Step 3: Cross multiply
    3,672x = 5,071.68 × 2,427.84
  4. Step 4: Simplify right side
    3,672x = 12,313,227.57
  5. Step 5: Solve for x
    x = 12,313,227.57/3,672
  6. Step 6: Final answer
    x = 3,353.28

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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.