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Finding the Fourth Proportional to 5,805.60, 8,010.80 and 3,816.96

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Solution

The fourth proportional to 5,805.60, 8,010.80 and 3,816.96 is: 5,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.60 : 8,010.80 = 3,816.96 : x
  2. Step 2: Convert to fraction form
    5,805.60/8,010.80 = 3,816.96/x
  3. Step 3: Cross multiply
    5,805.60x = 8,010.80 × 3,816.96
  4. Step 4: Simplify right side
    5,805.60x = 30,576,903.17
  5. Step 5: Solve for x
    x = 30,576,903.17/5,805.60
  6. Step 6: Final answer
    x = 5,266.79

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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.