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Finding the Fourth Proportional to 5,577.07, 7,696.46 and 3,059.14

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Solution

The fourth proportional to 5,577.07, 7,696.46 and 3,059.14 is: 4,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.07 : 7,696.46 = 3,059.14 : x
  2. Step 2: Convert to fraction form
    5,577.07/7,696.46 = 3,059.14/x
  3. Step 3: Cross multiply
    5,577.07x = 7,696.46 × 3,059.14
  4. Step 4: Simplify right side
    5,577.07x = 23,544,548.64
  5. Step 5: Solve for x
    x = 23,544,548.64/5,577.07
  6. Step 6: Final answer
    x = 4,221.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.