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Finding the Fourth Proportional to 3,938.76, 5,430.44 and 3,228

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Solution

The fourth proportional to 3,938.76, 5,430.44 and 3,228 is: 4,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.76 : 5,430.44 = 3,228 : x
  2. Step 2: Convert to fraction form
    3,938.76/5,430.44 = 3,228/x
  3. Step 3: Cross multiply
    3,938.76x = 5,430.44 × 3,228
  4. Step 4: Simplify right side
    3,938.76x = 17,529,460.32
  5. Step 5: Solve for x
    x = 17,529,460.32/3,938.76
  6. Step 6: Final answer
    x = 4,450.50

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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.