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Finding the Fourth Proportional to 3,897.36, 5,376.81 and 2,480.67

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Solution

The fourth proportional to 3,897.36, 5,376.81 and 2,480.67 is: 3,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.36 : 5,376.81 = 2,480.67 : x
  2. Step 2: Convert to fraction form
    3,897.36/5,376.81 = 2,480.67/x
  3. Step 3: Cross multiply
    3,897.36x = 5,376.81 × 2,480.67
  4. Step 4: Simplify right side
    3,897.36x = 13,338,091.26
  5. Step 5: Solve for x
    x = 13,338,091.26/3,897.36
  6. Step 6: Final answer
    x = 3,422.34

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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.