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Finding the Fourth Proportional to 3,968.49, 5,476.38 and 2,289.67

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Solution

The fourth proportional to 3,968.49, 5,476.38 and 2,289.67 is: 3,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.49 : 5,476.38 = 2,289.67 : x
  2. Step 2: Convert to fraction form
    3,968.49/5,476.38 = 2,289.67/x
  3. Step 3: Cross multiply
    3,968.49x = 5,476.38 × 2,289.67
  4. Step 4: Simplify right side
    3,968.49x = 12,539,100.04
  5. Step 5: Solve for x
    x = 12,539,100.04/3,968.49
  6. Step 6: Final answer
    x = 3,159.66

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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.