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Finding the Fourth Proportional to 5,917.64, 8,166.15 and 3,265.16

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Solution

The fourth proportional to 5,917.64, 8,166.15 and 3,265.16 is: 4,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.64 : 8,166.15 = 3,265.16 : x
  2. Step 2: Convert to fraction form
    5,917.64/8,166.15 = 3,265.16/x
  3. Step 3: Cross multiply
    5,917.64x = 8,166.15 × 3,265.16
  4. Step 4: Simplify right side
    5,917.64x = 26,663,745.50
  5. Step 5: Solve for x
    x = 26,663,745.50/5,917.64
  6. Step 6: Final answer
    x = 4,505.81

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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.