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Finding the Fourth Proportional to 4,809.52, 6,634.58 and 3,914.26

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Solution

The fourth proportional to 4,809.52, 6,634.58 and 3,914.26 is: 5,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.52 : 6,634.58 = 3,914.26 : x
  2. Step 2: Convert to fraction form
    4,809.52/6,634.58 = 3,914.26/x
  3. Step 3: Cross multiply
    4,809.52x = 6,634.58 × 3,914.26
  4. Step 4: Simplify right side
    4,809.52x = 25,969,471.11
  5. Step 5: Solve for x
    x = 25,969,471.11/4,809.52
  6. Step 6: Final answer
    x = 5,399.60

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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.