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Finding the Fourth Proportional to 4,221.82, 5,811.04 and 3,505.81

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Solution

The fourth proportional to 4,221.82, 5,811.04 and 3,505.81 is: 4,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.82 : 5,811.04 = 3,505.81 : x
  2. Step 2: Convert to fraction form
    4,221.82/5,811.04 = 3,505.81/x
  3. Step 3: Cross multiply
    4,221.82x = 5,811.04 × 3,505.81
  4. Step 4: Simplify right side
    4,221.82x = 20,372,386.55
  5. Step 5: Solve for x
    x = 20,372,386.55/4,221.82
  6. Step 6: Final answer
    x = 4,825.50

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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.