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Finding the Fourth Proportional to 5,483.89, 8,232.63 and 3,646.81

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Solution

The fourth proportional to 5,483.89, 8,232.63 and 3,646.81 is: 5,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.89 : 8,232.63 = 3,646.81 : x
  2. Step 2: Convert to fraction form
    5,483.89/8,232.63 = 3,646.81/x
  3. Step 3: Cross multiply
    5,483.89x = 8,232.63 × 3,646.81
  4. Step 4: Simplify right side
    5,483.89x = 30,022,837.41
  5. Step 5: Solve for x
    x = 30,022,837.41/5,483.89
  6. Step 6: Final answer
    x = 5,474.73

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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.