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Finding the Fourth Proportional to 4,830.55, 6,662.01 and 3,834.25

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Solution

The fourth proportional to 4,830.55, 6,662.01 and 3,834.25 is: 5,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.55 : 6,662.01 = 3,834.25 : x
  2. Step 2: Convert to fraction form
    4,830.55/6,662.01 = 3,834.25/x
  3. Step 3: Cross multiply
    4,830.55x = 6,662.01 × 3,834.25
  4. Step 4: Simplify right side
    4,830.55x = 25,543,811.84
  5. Step 5: Solve for x
    x = 25,543,811.84/4,830.55
  6. Step 6: Final answer
    x = 5,287.97

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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.