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Finding the Fourth Proportional to 3,166.65, 4,346.56 and 3,031.33

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Solution

The fourth proportional to 3,166.65, 4,346.56 and 3,031.33 is: 4,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.65 : 4,346.56 = 3,031.33 : x
  2. Step 2: Convert to fraction form
    3,166.65/4,346.56 = 3,031.33/x
  3. Step 3: Cross multiply
    3,166.65x = 4,346.56 × 3,031.33
  4. Step 4: Simplify right side
    3,166.65x = 13,175,858.23
  5. Step 5: Solve for x
    x = 13,175,858.23/3,166.65
  6. Step 6: Final answer
    x = 4,160.82

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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.