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Finding the Fourth Proportional to 5,577.72, 7,696.96 and 3,059.92

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Solution

The fourth proportional to 5,577.72, 7,696.96 and 3,059.92 is: 4,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.72 : 7,696.96 = 3,059.92 : x
  2. Step 2: Convert to fraction form
    5,577.72/7,696.96 = 3,059.92/x
  3. Step 3: Cross multiply
    5,577.72x = 7,696.96 × 3,059.92
  4. Step 4: Simplify right side
    5,577.72x = 23,552,081.84
  5. Step 5: Solve for x
    x = 23,552,081.84/5,577.72
  6. Step 6: Final answer
    x = 4,222.53

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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.