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Finding the Fourth Proportional to 4,216.67, 5,820.65 and 3,773.81

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Solution

The fourth proportional to 4,216.67, 5,820.65 and 3,773.81 is: 5,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.67 : 5,820.65 = 3,773.81 : x
  2. Step 2: Convert to fraction form
    4,216.67/5,820.65 = 3,773.81/x
  3. Step 3: Cross multiply
    4,216.67x = 5,820.65 × 3,773.81
  4. Step 4: Simplify right side
    4,216.67x = 21,965,979.20
  5. Step 5: Solve for x
    x = 21,965,979.20/4,216.67
  6. Step 6: Final answer
    x = 5,209.32

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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.