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Finding the Fourth Proportional to 5,917.74, 8,166.47 and 3,265.31

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Solution

The fourth proportional to 5,917.74, 8,166.47 and 3,265.31 is: 4,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.74 : 8,166.47 = 3,265.31 : x
  2. Step 2: Convert to fraction form
    5,917.74/8,166.47 = 3,265.31/x
  3. Step 3: Cross multiply
    5,917.74x = 8,166.47 × 3,265.31
  4. Step 4: Simplify right side
    5,917.74x = 26,665,999.00
  5. Step 5: Solve for x
    x = 26,665,999.00/5,917.74
  6. Step 6: Final answer
    x = 4,506.11

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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.