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Finding the Fourth Proportional to 4,188.96, 5,778.87 and 2,696.34

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Solution

The fourth proportional to 4,188.96, 5,778.87 and 2,696.34 is: 3,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.96 : 5,778.87 = 2,696.34 : x
  2. Step 2: Convert to fraction form
    4,188.96/5,778.87 = 2,696.34/x
  3. Step 3: Cross multiply
    4,188.96x = 5,778.87 × 2,696.34
  4. Step 4: Simplify right side
    4,188.96x = 15,581,798.34
  5. Step 5: Solve for x
    x = 15,581,798.34/4,188.96
  6. Step 6: Final answer
    x = 3,719.73

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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.