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Finding the Fourth Proportional to 5,577.65, 7,696.82 and 3,059.25

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Solution

The fourth proportional to 5,577.65, 7,696.82 and 3,059.25 is: 4,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.65 : 7,696.82 = 3,059.25 : x
  2. Step 2: Convert to fraction form
    5,577.65/7,696.82 = 3,059.25/x
  3. Step 3: Cross multiply
    5,577.65x = 7,696.82 × 3,059.25
  4. Step 4: Simplify right side
    5,577.65x = 23,546,481.29
  5. Step 5: Solve for x
    x = 23,546,481.29/5,577.65
  6. Step 6: Final answer
    x = 4,221.58

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1.5x scale

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.