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Finding the Fourth Proportional to 4,493.64, 6,743.91 and 3,084.75

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Solution

The fourth proportional to 4,493.64, 6,743.91 and 3,084.75 is: 4,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.64 : 6,743.91 = 3,084.75 : x
  2. Step 2: Convert to fraction form
    4,493.64/6,743.91 = 3,084.75/x
  3. Step 3: Cross multiply
    4,493.64x = 6,743.91 × 3,084.75
  4. Step 4: Simplify right side
    4,493.64x = 20,803,276.37
  5. Step 5: Solve for x
    x = 20,803,276.37/4,493.64
  6. Step 6: Final answer
    x = 4,629.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.