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Finding the Fourth Proportional to 4,805.64, 6,631.80 and 2,709.80

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Solution

The fourth proportional to 4,805.64, 6,631.80 and 2,709.80 is: 3,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.64 : 6,631.80 = 2,709.80 : x
  2. Step 2: Convert to fraction form
    4,805.64/6,631.80 = 2,709.80/x
  3. Step 3: Cross multiply
    4,805.64x = 6,631.80 × 2,709.80
  4. Step 4: Simplify right side
    4,805.64x = 17,970,851.64
  5. Step 5: Solve for x
    x = 17,970,851.64/4,805.64
  6. Step 6: Final answer
    x = 3,739.53

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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.