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Finding the Fourth Proportional to 5,917.80, 8,167.05 and 3,265.47

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Solution

The fourth proportional to 5,917.80, 8,167.05 and 3,265.47 is: 4,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.80 : 8,167.05 = 3,265.47 : x
  2. Step 2: Convert to fraction form
    5,917.80/8,167.05 = 3,265.47/x
  3. Step 3: Cross multiply
    5,917.80x = 8,167.05 × 3,265.47
  4. Step 4: Simplify right side
    5,917.80x = 26,669,256.76
  5. Step 5: Solve for x
    x = 26,669,256.76/5,917.80
  6. Step 6: Final answer
    x = 4,506.62

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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.