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Finding the Fourth Proportional to 4,216.54, 5,820.47 and 3,773.68

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Solution

The fourth proportional to 4,216.54, 5,820.47 and 3,773.68 is: 5,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.54 : 5,820.47 = 3,773.68 : x
  2. Step 2: Convert to fraction form
    4,216.54/5,820.47 = 3,773.68/x
  3. Step 3: Cross multiply
    4,216.54x = 5,820.47 × 3,773.68
  4. Step 4: Simplify right side
    4,216.54x = 21,964,591.23
  5. Step 5: Solve for x
    x = 21,964,591.23/4,216.54
  6. Step 6: Final answer
    x = 5,209.15

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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.