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Finding the Fourth Proportional to 5,805.60, 8,012.38 and 3,287.88

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Solution

The fourth proportional to 5,805.60, 8,012.38 and 3,287.88 is: 4,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.60 : 8,012.38 = 3,287.88 : x
  2. Step 2: Convert to fraction form
    5,805.60/8,012.38 = 3,287.88/x
  3. Step 3: Cross multiply
    5,805.60x = 8,012.38 × 3,287.88
  4. Step 4: Simplify right side
    5,805.60x = 26,343,743.95
  5. Step 5: Solve for x
    x = 26,343,743.95/5,805.60
  6. Step 6: Final answer
    x = 4,537.64

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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.