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Finding the Fourth Proportional to 5,805.74, 8,011.85 and 3,287.80

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Solution

The fourth proportional to 5,805.74, 8,011.85 and 3,287.80 is: 4,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.74 : 8,011.85 = 3,287.80 : x
  2. Step 2: Convert to fraction form
    5,805.74/8,011.85 = 3,287.80/x
  3. Step 3: Cross multiply
    5,805.74x = 8,011.85 × 3,287.80
  4. Step 4: Simplify right side
    5,805.74x = 26,341,354.01
  5. Step 5: Solve for x
    x = 26,341,354.01/5,805.74
  6. Step 6: Final answer
    x = 4,537.12

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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.