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Finding the Fourth Proportional to 3,166.84, 4,346.82 and 3,031.52

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Solution

The fourth proportional to 3,166.84, 4,346.82 and 3,031.52 is: 4,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.84 : 4,346.82 = 3,031.52 : x
  2. Step 2: Convert to fraction form
    3,166.84/4,346.82 = 3,031.52/x
  3. Step 3: Cross multiply
    3,166.84x = 4,346.82 × 3,031.52
  4. Step 4: Simplify right side
    3,166.84x = 13,177,450.03
  5. Step 5: Solve for x
    x = 13,177,450.03/3,166.84
  6. Step 6: Final answer
    x = 4,161.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.