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Finding the Fourth Proportional to 5,917.54, 8,166 and 3,265.06

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Solution

The fourth proportional to 5,917.54, 8,166 and 3,265.06 is: 4,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.54 : 8,166 = 3,265.06 : x
  2. Step 2: Convert to fraction form
    5,917.54/8,166 = 3,265.06/x
  3. Step 3: Cross multiply
    5,917.54x = 8,166 × 3,265.06
  4. Step 4: Simplify right side
    5,917.54x = 26,662,479.96
  5. Step 5: Solve for x
    x = 26,662,479.96/5,917.54
  6. Step 6: Final answer
    x = 4,505.67

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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.