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Finding the Fourth Proportional to 3,969.40, 5,477.62 and 2,290.89

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Solution

The fourth proportional to 3,969.40, 5,477.62 and 2,290.89 is: 3,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.40 : 5,477.62 = 2,290.89 : x
  2. Step 2: Convert to fraction form
    3,969.40/5,477.62 = 2,290.89/x
  3. Step 3: Cross multiply
    3,969.40x = 5,477.62 × 2,290.89
  4. Step 4: Simplify right side
    3,969.40x = 12,548,624.88
  5. Step 5: Solve for x
    x = 12,548,624.88/3,969.40
  6. Step 6: Final answer
    x = 3,161.34

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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.