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Finding the Fourth Proportional to 4,954.40, 7,417 and 3,661.64

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Solution

The fourth proportional to 4,954.40, 7,417 and 3,661.64 is: 5,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.40 : 7,417 = 3,661.64 : x
  2. Step 2: Convert to fraction form
    4,954.40/7,417 = 3,661.64/x
  3. Step 3: Cross multiply
    4,954.40x = 7,417 × 3,661.64
  4. Step 4: Simplify right side
    4,954.40x = 27,158,383.88
  5. Step 5: Solve for x
    x = 27,158,383.88/4,954.40
  6. Step 6: Final answer
    x = 5,481.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.